Upload
tarbiyahiainib
View
3
Download
0
Embed Size (px)
Citation preview
1
CHAPTER I
INTRODUCTION
A. Background of The Problem
Writing is an activity to write or produce something
in written from so that people can read, perform or use
it in learning. Writing is a way for the people to think
into the language by using graphic symbols. It means that
the writer does not just use the symbols but should make
a good arrangement.
Based on curriculum 2006 (KTSP), there are several
kinds of writing text that have to be introduced at
junior high school, such as narrative, descriptive,
argumentative and exposition. Descriptive text is one of
the texts that studies by the second year students of
junior high school. Descriptive text is a kind of writing
that expresses the ideas to describe something, people or
place. Descriptive text has the component such as, the
generic structure and the language features.
2
Besides, the students should understand language
components that build their communication in English
well. Those components are grammar, vocabulary and
pronunciation. All of these components should be
considered in writing. It means that to make a good
writing, the students should have the basic knowledge in
grammar, vocabulary, organizing idea, spelling and
punctuation. All of them are essential aspects that
should be considered in producing good writing.
In addition, English syllabus of Junior high school
states that, students have to write in correct
grammatical. It means that the students should choose
suitable words to be arranged into sentences and
determine the right verb that is suitable to the tense.
Considering grammar as one important components in
making a good writing, it is important by the writer to
give an error analysis in students writing. Error
3
analysis is an activity to identify, classify and
interpreted or describe the errors made by someone in
writing and it is carried out to obtain information on
common difficulties faced by someone in speaking or in
writing English sentences.
Furthermore, some mistakes are made when the
students do not understand well about the English
grammar. Then the students make mistakes and it happens
repeatedly because they do not have the correction and
it is what we have called as error.
In fact, as writer conducted preliminary research
at Junior High School 31 Padang on March 28th 2014,
writer found that there are some grammatical errors in
students’ writing. The following table shows the
examples and the causes of errors:
Erroneous
SentencesReconstructed
SentencesCauses of Error
My friend usually My friend usually
4
call me Cindycalls me Cindy
Intralingual error
The verb “call” should be “calls” because the subject is singular and thesentence is present
I am very loveher and she love
me too
I love her verymuch and sheloves me, too
Interlingual andIntralingual error
The verb shouldbe “love”without “am”.The order is likeIndonesian rule.The verb “love”should be“loves” becausethe subject issingular and thesentence ispresent.
Based on the example above, we can conclude that
students’ ability in writing is still not good. It can
be evidence that students’ have lack ability in grammar
5
and it bring about they make grammatical errors in their
writing.
Considering that problem, the writer would like to
conduct a research entitled “An Analysis on the
Grammatical Errors in the Students’ Writing at Eighth
Grade of Junior High School 31 Padang”.
B. The Scope of The Problem
The students usually make errors in their writing,
especially related to the structure construction; namely
grammatical errors. In this study the writer will focus
on grammatical errors found in the students’ writing.
The writer will only take descriptive text writing since
the eighth grade of Junior High School 31 Padang has
descriptive materials in the curriculum.
C. Research Questions
Based on the description above, the writer
formulated the research questions as follow:
6
1. What are common grammatical errors made by the
eighth grade students of SMP N 31 Padang in writing
descriptive text?
2. What are the possible causes of these errors?
D. Purpose of the Research
The purpose in this study is one important thing
in order the study will reach the target what the
writer hopes. Here are the purposes of the research:
1. To identify the grammatical errors are made by
the students in their written text.
2. To describe the reasons why the students make
errors in their writing.
E. Significance of the Research
This study is expected to give some crucial
contributions to the writer, the English teacher, and
the students as well. Firstly, to the writer, this
research gives him a description about some errors in
students’ writing especially in descriptive text.
7
Next, to the English teachers, it may help them to
find a better strategy in teaching writing for the
students in order to make some problems in writing
would not happen. And to the students, it is important
for them to learn and practice their writing in order
to make them could be mastered this skill.
CHAPTER II
REVIEW RELATED LITERATURE
A. Writing
1. The Nature of Writing
Writing is one of the skills that should be
mastered by the students. It is reasonable because
writing can include to process of communication which
through written form. In addition, Swales (1994:34)
states that writing is complex socio cognitive process
involving the construction of recorded message on
8
paper. It means that by writing people can do
communication. They can communicate each other by
using message which can be understood by them.
In addition, Florian (2003) states there are six
meanings of “writing” can be distinguished (1) a
system of recording language by means of visible or
tactile marks; (2) the activity of putting such as a
system to use; (3) the result of such activity, a
text; (4) the particular form such a result, a script
style such as block writing; (5) artistic composition;
(6) a professional occupation. Based on these things,
it means that writing is a process of making a
sentence until paragraph that has meaning which can be
used to a professional occupation,
On the other hands, Ozhima (2005:98) states that
writing is a process not a product. It means that
writing can be referred to how to do something in
creating ideas, an applying in their work. Besides
5
9
that, the writer should know about the process in
writing activity.
Furthermore, Nation (2009) cites that writing is
an activity that can usefully be prepared for by work
in other of listening, speaking, and reading. It means
that writing activity has multi functions which are
related to other skills. For instance, task from a
teacher can be started from listening, speaking,
reading, and writing.
In addition, Magnotto (2009:115) states that
writing is a tool for communication. It means that, by
writing many people can communicate. For example, they
can send a message to their family and their friends
by writing. Besides that, writing will influence
education. For instance, the students can express
their ideas by writing activity. In addition, writing
can be a great job for someone as well.
10
In summary, the writer concludes that writing is
the process to express ideas. Writing can help human
life in many aspects because there are combinations
between process and product in writing activity.
2. The Principles of Writing
Students should know the principles of writing
text. It can help them to be easy in developing their
ideas into written form. Many principles of writing
that can be gotten by the students from the teacher.
In addition, Nunan (2003:92) notes that those below:
a. Understanding students’ reason for writing.
The students should know what the purpose of
their activity.
b. Provide many opportunities for students to write.
In writing, there are some activities. Here, the
teacher should check about her or his lesson plan
for the students.
c. Making feedback helpful and meaningful.
11
Writing should contain some advantages that will
build knowledge for the students.
d. Clarifying for the students how their writing
will be evaluated.
Here, the evaluation that will be given to
students should be objective.
e. Classroom technique and ask.
Technique and task should be used by the teacher
to teach writing.
In conclusion, the teacher should know the
principles in writing. These principles should be
taught to the students in order to make the students
know about the function of their activities, and the
teacher can use the time effectively to teach writing.
Besides, the teacher should do objective evaluation
for his or her students and try to apply appropriate
technique for the students in writing activity.
12
3. Writing Components
According to Jacobs (1981: 12), there are five
components of writing namely; Content, organization,
vocabulary, language use and mechanics. Below is the
explanation of each:
a. Content. Content is a substance of a text. There
are four descriptors for content, they are
knowledgeable, substantive, thorough development
of thesis, relevant to assigned topic
b. Organization. Organization is related to the
appropriate sequence of events or chronological
order of an event in a text and
appropriate length. It means the idea of the text
should be well-organized, the idea must relate
from one to another in paragraph. There are six
descriptors for this component; fluent expression,
13
ideas clearly stated/supported, succinct, well
organized, logical sequencing, cohesive.
c. Language use, in writing evaluation language use
consists of eight descriptors: effective complex
construction, agreement, tenses, number, word
order/function, articles, pronouns and
prepositions.
d. Vocabulary, a writer should choose a correct
vocabulary. Usually good writers have enriched
their vocabulary for their writings’ quality.
Because vocabulary is a basic of writing, without
grammar very little can be conveyed, but without
vocabulary nothing can be conveyed. Vocabulary in
this case consists of four descriptors:
sophisticated range, effective word / idiom choice
and usage, word form mastery, appropriate
register.
e. Mechanics is related to spelling, punctuation,
capitalization, paragraphing and handwriting in
14
written product.
Based on the explanation above, it is conclude that
there are five components that should be considered for
a good and meaningful writing such as: Content,
Organization, Vocabulary, Language Use, and Mechanic.
By comprehending the aspects or components of writing,
learner can produce a well-organized text, easily to
read and understandable. And since writing is a
complex activity and difficult to the student, teacher
must be clear about the purpose of teaching writing in
order to help students faces the difficulties of
writing.
4. Teaching Writing
Teaching writing is to get things done, to form
and maintain all aspect in our daily life making
relationship. In fact, the teacher can teach the
student kind of text like descriptive, procedure,
recount, narrative and report.
15
According to Raimes (1983: 3) there is very
important reason why the student should pay attention
in writing: 1) writing helps the student to reinforce
to grammatical structure, idiom, and vocabulary that
the teacher has been teaching the student; 2) when the
student write, they also have a chance to be
adventurous with the language, to go beyond what they
have just learned to say, to take risks; 3) when the
student write, they necessarily become very involved
with the new language, the effort to express ideas and
the constant use of eye, hand, and brain in a unique
way to reinforce learning.
In other hand, Graves (1991) says that the
writing process as classroom activity incorporates the
five writing process. They are: 1) pre-writing such as
getting ready to write, decide on the topic,
brainstorm, and organize ideas; 2) drafting and
writing, like write and refine paragraphs and also
focus on communication of meaning; 3) sharing and
16
responding, such as share work to gain feedback, peer
editing and writing workshop; 4) revising and editing
like revise content, proofread for writing conventions
and text reorganizing; 5) publishing, such as
celebrate and show case finishing products and build
confidence in students as writes.
5. The Purpose of Teaching Writing at Junior High
School
Writing should be taught at junior high school in
order to develop their skill in writing. Harmer (1998)
states that the reasons for teaching writing to
students of English as a foreign language include
reinforcement, language development, learning style,
and most importantly, writing as a skill in its own
sight. It means that, before writing, the teacher
should have some reasons to teach this skill for his
or her students such as about language, style in
writing, and others.
17
Harmer (2004:34) cites that teaching ‘writing for
writing’ is entirely different however, since our
objective here is to help students to become better
writers and to learn how to write in various genres
using different registers. It means that the purpose
of teaching writing is to make the students become
good writers by learning how to write well.
Hyland (2003:20) states that teaching writing can
help students to distinguish between different genres
and to write tem more effectively by a careful study
of their structures. It means that purpose of teaching
writing is to make the students understand about kinds
of text and how to write the text well.
Kirby and Crovitz (2013:5) note that attempting
to teach writing as a process of identifying and
practicing various components that can be combined,
assembly-line style, into an effective piece of
writing just does not work. It shows that teaching
18
writing is the process of identifying, and practicing
about structures in writing text.
In conclusion, the purpose of teaching writing is
to help the students become a good writer by making
the students know about how to write well in some
structures into some texts.
B. Grammar
The Definition of Grammar
James E. Purpura states in his book (Assessing
Grammar) “Grammar is defined as a systematic way
accounting for a predicting an ideal speaker’s or
hearer’s knowledge of the language. This is done by a
set of rules or principles that can be used to
generate all well-formed or grammatical utterances in
the language”. In addition, Penny Ur says that:
“Grammar is sometimes defined as the way words are
put together to make correct sentences”.
19
Gerot & Wignell (1994: 2) state that grammar is a
theory of a language, of how language is put together
and how it works. Having known the definition of
grammar, it is not hard for us to understand why
grammar is useful and important. Without knowing the
grammar of a language, one can not be said to have
learned the language. Besides, it seems impossible to
learn a language without learning the grammar because
it tells him how to use the language.
C. Descriptive Text
1. The Nature of Descriptive Text
Descriptive text is a kind of text that used to
describe about something. For example: place, person,
and thing. In addition, Linda Gerrot and Peter Wignell
(1994) in Mursyid state that descriptive text is a
kind of text with purpose to give information. The
context of this kind of text is the description of
particular thing, animal, person, or other. For
instance: our pets or a person we know well. It means
20
that descriptive text is a kind of text which will
inform the readers about something by describing, such
as particular thing, animal, person and others.
In addition, Wahidi (2008) states that
descriptive text is usually used to help a writer
develop an aspect of their work for instance: to
create a particular mood, atmosphere or describe a
place so that the reader can create vivid pictures of
characters, places, objects and more. It shows that
descriptive text is very useful for the writers to
develop writing skill by describing something.
In conclusion, descriptive text is a kind of
texts that explains about place, people, and thing. In
addition, generic structure of descriptive text as
some linguistic features which use simple present,
noun phrase, action verb, and others that will be
explained in the following section.
2. The Language Features of Descriptive Text
21
Descriptive text is a kind of text which has some
language features. Jenny Hammond (1992:5) in Mursyid
states that there are some language features of
descriptive text, they are:
1. Focus on Specific Participants
It means that descriptive text focus to the
object that will be described. For example: my
English teacher, Andini’s cat, my favorite place.
2. Use of Simple Present Tense
It means that descriptive text will describe
something in present time.
3. Use of Simple Past Tense if Extinct
It means that descriptive text will describe
something in past time.
4. Verbs of Being and Having Relational Processes
It means that descriptive text will use sentence
which have connection each others. For example:
my mother is really cool, she has long black
hair.
22
5. Use of Descriptive Adjectives
Based on the type of text, descriptive text will
describe something by using descriptive
adjectives. For example: strong legs, white
fangs.
6. Use of Detailed Noun Phrase to Give Information
about the Subject.
It means that, descriptive text will use noun
phrase in order to create reader’s understanding
about the content of the text. For example: very
beautiful scenery, a sweet young lady, very thick
fur.
7. Use of Action Verbs Material Processes
It means that descriptive text uses material
processes which will describe about the process
of something happens. For example: it eats grass,
it runs fast.
8. Use of Adverbials to Give Additional Information
about Behavior
23
It means that descriptive text uses adverb which
will explain about where and how something
happens. For example: fast, at tree house.
9. Use of Figurative Language
It means that descriptive text uses figurative
language to make a perception of the readers
about the content of the text. For example: John
is as white as chalk.
3. The Generic Structure of Descriptive Text
Descriptive text has some generic structures that
should be known by the teacher and the students.
Jenny Hammond (1992:4) states that there are some
generic structures of descriptive text, they are:
Identification
It is the first structure of descriptive text
which will identify phenomenon to describe
Description
24
It is the second structure of descriptive text
which will be used to describe parts, qualities,
characteristics, and etc.
In conclusion, descriptive text has two
generic structures that will be used to describe
about something in general and specific. They are
identification and description
D. Error Analysis
1. Error Analysis
Error analysis is a kind of activity that
should be done by the teacher to know about the
difficulties of students in analyzing something.
James (1998) in Sirkka states that error analysis
compares learner English with English (L2) itself
and judges how learners are ignorant. It means that
error analysis is something which is made by the
students as learners in English and the error will
be analyzed by the teacher to know about how far
25
learners’ comprehension about their second
language.
In addition, Richards and Schmidt (2002) in
Sirkka define error analysis as the study and
analysis of the errors made by second language
learners. It means that error analysis can be
analyzed based on the second language learners in
written form.
Besides that, Corder (1967) in Sirkka states
that learners’ errors are important in and of them.
It means that errors which are made by the students
can be used to analyze about their comprehension
and how far their errors.
Another concept of error analysis is given by
Brown. He defines error analysis as the process to
observe, analyzes, and classifies the deviations of
the rules of the second language and then to reveal
the systems operated by learner. It seems this
26
concept is the same as the one proposed by Crystal
i.e. Error Analysis is a technique for identifying,
classifying and systematically interpreting the
unacceptable forms produced by someone learning a
foreign language, using any of the principles and
procedures provided by linguistics. The three
definitions above clarify that error analysis is an
activity to identify, classify and interpreted or
describe the errors made by someone in speaking or
writing and it is carried out to obtain information
on common difficulties faced by someone in speaking
or writing English sentences. Another thing which
should be noticed is the procedure of error
analysis.
In conclusion, error analysis is a kind of
error that should be analyzed by the teacher in
order to know about how far his students’
comprehension and mistakes especially in written
form.
27
2. The differences Between Error and Mistake
In order to analyze learners’ errors in a
proper perspective, it is crucial to make a
distinction between “mistake” and “error”.
According to Brown (2000) in Andrea Giordano, a
“mistake” refers to a performance error in that it
is a failure to utilize a known system correctly.
While an “error” is a noticeable deviation from the
adult grammar of a native speaker, reflecting the
interlanguage competence of the learner. This
recognition process is followed by the error
description process. We compare learners’ sentences
with the correct sentences in target language, and
find out the errors. The differences between these
two in detailed can be described as under:
28
1. Errors are result of ignorance. Whereas
mistakes are result of stress.
2. Errors of a learner have a definite
pattern, whereas mistakes do not occur in
pattern.
3. Errors can’t be rectified by its doer,
mistakes can be.
3. Significance of Error Analysis in Language
Teaching and Learning
In order to teach a language, it is necessary
to understand the process that goes on in the mind
of the learner. Error analysis is a part of this
process.
Significance:
As Corder has pointed out, there is a vital
difference between ‘errors’ and ‘mistakes’. He
labels ‘mistakes’ as ‘performance errors’, which
29
are like slip of pen. The learner himself can
correct it later on, because they are not the
results of unawareness. Whereas, genuine errors are
ignorance of rules. The learner can’t correct it by
himself. They show the learner’s “transitional
Competence”.
Error analysis is essentially significant
because, as Jack Richards refers to Corder’s
observation: “Learner’s correct sentences do not
necessarily give evidence of the rules of the new
language and the rules he has developed at given
stages of his language development”. This can be
done only by the errors he makes. And after knowing
this only one can proceed in teaching. So, errors,
and its analysis both are an inevitable part of
teaching & learning.
4. The Types and The Causes of Error
4.1 Types of Errors
30
In the stage of identifying and describing the
errors in this research, the writer will use the
surface strategy taxonomy (Dulay, Burt, Krashen,
1982). Based on the taxonomy, errors are classified
into four categories:
a) Omission
Omission errors are characterized by the absence of
an item that must appear in a well – formed phrases
or sentence. Any morpheme or word in a sentence is
a potential candidate for omission. However,
between content words and function words, the
letters are more frequently omitted by language
learners.
Examples:
1. He sitting
He is sitting.
31
2. English use as second language
English is used as second language.
b) Addition
Addition errors are opposite of omission. They
are characterized by the presence of an item, which
does not appear in a well-formed utterance.
Examples:
1. She is eats
banana
She eats banana.
2. It is on a picture of
giraffe
It is a picture of
giraffe
c) Misformation
Misformation errors are characterized by the
use of the wrong form or morpheme of structure.
While in omission error, the item is not supplied
at all. In the misformation errors the learner
supplies something, although it is incorrect.
32
Examples:
1. Eki eat a pineapple
Eki eats a pineapple
2. It is the tiger
It is a tiger
d) Misrodering
It is characterized by the incorrect placement
of one or more elements in a phrase or sentence.
The errors may be made by L1 and L2 learners when
they have acquired certain simple patterns.
Examples:
1. Elephant has a nose long
Elephant has a long nose.
2. Zebra the colors is black and white
Zebra’s color is black and white.
4.2 Causes of Errors
33
Richards (1974) concludes that writing
errors made by the students are caused by two
factors, they are Interlingua and intralingua.
Interlingua factor occurs when they make deviant
sentences from mother tongue. Intralingua occurs
when they lack grammatical knowledge in the
target language. Richard state that there are
four types of intralingua or developmental
errors, they are:
1. Overgeneralization
Overgeneralization is defined as the use of
the previously available strategies in a new
situation. Learners make a new deviant structure
on the basis on their experience of their
structures in target language. They make errors,
as they want to reduce their linguistic burden in
using the language. The kinds of errors occur
when the learners are given different kind of
34
sentence patterns and rules but sometimes she or
he uses them in different situation, in which
particular generalization doesn’t apply.
2. Ignorance of the rule restriction
Ignorance of rule restriction related to
generalization. Learners make errors because they
fail to observe the restriction of existing
structures. They apply the rules in a new
situation where if should not be applied.
3. Incomplete application of rules
Learners make errors because they are more
interested in communication, so they think that
there is no need for mastering the rules of the
language.
4. False hypothesized concepts
The errors are caused by the poor gradation
of the teaching items. It is derived from a
35
faulty comprehension or distinction in the target
language.
E.Previous Studies
In analyzing this research, the writer needs
to review some thesis to help his analysis. He
found three researchers who analyzed about
students’ writing. All of them are study about
the grammatical errors in students’ writing.
First, a thesis by Toni Haryanto (2007) that
observes about Grammatical Error Analysis in
Students’ Recount Text. He used case study in
doing the research. Finally, he found that the
students made 235 grammatical errors which were
classified into 153 errors in producing verbal
groups, 3 errors in subject-verb agreement, 10
errors in the use of article30, errors in the use
of preposition, 12 errors in pluralization, 23
errors in the use of pronoun, 4 errors in the use
36
of conjunction. He also found that the possible
causes of errors are overgeneralization and
interference.
Next, a thesis by Fajariani Emmaryana
(2010). She did the research about students’
grammatical errors in writing. She used case
study research as well. As the result of the
research, she found that the error was done in
Tense for the highest errors by 19 students or
95%, the second is errors in Spelling and
Punctuation by 18 students or 90%, the third is
errors in Sentence Pattern by 17 students or 85%,
the forth is errors in Preposition by 7 students
or 35%, and the last errors in Pronoun with 6
errors or 30%
Third, a thesis by Indah Sri Purwanti
(2013). She did the research about Analysis of
Grammatical Errors in Descriptive Essay. She used
descriptive qualitative research. She found that
37
there are 201 items of errors, which occur in the
students’ sentences. They are analyzed based on
the surface strategy taxonomy, it is found that
39 items or 39.4% errors are omission errors, 7
items or 7.2% errors are addition errors, 39
items or 39.4% errors are malformation errors,
and 14 items or 14.1% errors are disordering
errors. In describing the possible causes of
errors, based on the comparative strategy
taxonomy, it is found that 187 items or 93%
errors is intralingual errors and 14 items or 7%
errors is interlingual errors.
Based on the finding of previous study
above, the writer interest to conduct a research
entitled “An Analysis on the Grammatical Errors
in the Students’ writing at Eight Grade of Junior
High School 31 Padang.
39
The type of the research is content analysis. The
writer applies this type in his research because it is
appropriate method to describe the result of research.
According to Kimberly A. Neuendorf, Content analysis is
a research tool used to determine the presence of
certain words or concepts within texts or sets of texts.
Researchers quantify and analyze the presence, meanings
and relationships of such words and concepts, then make
inferences about the messages within the texts, the
writer(s), the audience, and even the culture and time
of which these are a part.
In line with the description above, the content
analysis research will be used in this research because
the writer wants to describe grammatical errors in the
students; writing, especially the types of error and
causes of errors. Those errors will be described in
details in this research based on the result of the
students’ writing.
40
B. Research Participants
The participant of this research is the eighth
grade students of SMP N 31 Padang which have eight
classes in academic year 2014/2015. The class separated
in eight classes (VIII.1, VIII.2, VIII.3, VIII.4,
VIII.5, VIII.6, VIII.7, and VIII.8). Every class
consisted of 32 students. So, the totals of participants
are 256 students. It can be seen in the following table:
The Number of Eighth Grade Students of SMP N 31Padang in Academic Year 2014/2015
NO CLASSES NUMBER OF STUDENTS
1 VIII.1 32
2 VIII.2 32
3 VIII.3 32
4 VIII.4 32
5 VIII.5 32
6 VIII.6 32
7 VIII.7 32
8 VIII.8 32
25
41
TOTAL 256
B. Research Instrument
The instrument of this research is writing task.
The kind of writing task is writing descriptive text.
Then students’ writing will be applied as the data to be
analyzed and described by using content analysis
research method. The students will be given 60 minutes
for writing a descriptive text in free topics.
C. Technique of Data Collecting
To collect the data, the writer will get in touch
directly with the students of SMP N 31 Padang. He will
give written test to the students of class VIII.1 to
VIII.8 to know the students’ ability in making
42
descriptive text with good grammatical. Then the writer
will use random sampling to take 2 students from each
class as the sample so there are 16 students’ writing to
be analyzed.
D. Technique of Data Analysis
The writer uses content analysis research method
with following steps:
NO STEPS EXPLANATION
1 Reading students’
writing
Deciding which students’ writing to use for the analysis.
2Defining unit of
analysis
Categorizing every single grammatical errors in students’ writing
3
Coding the
grammatical
errors
Marking the grammatical errors by
using some codes and different
colors of pens or highlighter for
each category
4 Calculating
grammatical
Counting each category of
grammatical errors
43
errors
5Analyzing causes
of errors
Determining causes of errors that
found in the students’ writing
6Interpreting the
result
Reporting how often some
grammatical errors appear
Then, the writer calculates the errors using simple
statistic formula. And the data will be explained after
doing steps in content analysis research method.
Furthermore the writer uses book and other materials
such as the data from the internet which have topic
related to this study that support to the research.
The formula is:
P = F X 100 % N
P: Percentage
F: Frequency of wrong answer
N: Number of sample