08 Math Statistics Report 17SujinnaP

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Sujinna Pisitkasem

8E Red House (JCO)

02/12/2011

1

MATH ASSESSMENT: STATISTICS DATAThis report shows the results of an investigation taken in order to find out whether year 8 girls

or boys have more accuracy in shooting a basketball. I decided to do an experiment to find

out the answer, below is my research question for this project. I predict that girls on average

have more accuracy in shooting a basketball, this is because I know a lot of good basketball

players in my year which are girls, but this could partially be an effect of the fact that I know

more girls in year 8 more than boys.

Research Question: “Do girls in year 8 have more accuracy in shooting a basketball than

boys in year 8?”

I think this piece of work is related to the Area of Interaction called Approaches to Learning

(ATL). This is because this piece of work requires deep understanding on how to find the

range, mean, mode and median.

To find out the answer to our question, we picked 3 Girls and 3 Boys from each year 8 class at

random, a total of 30 people and took them to the basketball court, in 2 minutes, they are to

try to score baskets. The results are as follow:

Boy’s Frequency Distribution Table:

Boy Scores (b) Tally Frequency (f) b x f

0 | 1 0

1 | 1 1

2 | 1 2

3 ||| 3 9

4 |||| 4 16

5 || 2 10

6 0 0

7 || 2 14

8 0 0

9 0 0

10 | 1 10

∑f = 15 ∑f = 62

Girl’s Frequency Distribution Table:

Girls Scores (g) Tally Frequency (f) g x f

0 | 1 0

1 0 0

2 | 1 2

3 | 1 3

4 || 2 8

5 || 2 10

6 ||||| || 7 42

7 | 1 7

∑f = 15 ∑f = 72



Sujinna Pisitkasem

8E Red House (JCO)

02/12/2011

2

Boy’s Mean Average: 4.1

Girl’s Mean Average:

Boy’s Model Average: 4 Baskets

Girl’s Model Average: 6 Baskets

Boy’s Median Average: 4

Girl’s Median Average: 6

Boy’s Range:

Girl’s Range:

The data has been summarized. It can be seen that all the averages clearly show that yr. 8

girls have more accuracy in shooting a basketball that yr. 8 boys. Below is a summary table

of the averages.

Summary Table of Averages:

Mode Median Mean

Girls 6 6 4.8

Boys 4 4 4.1

6th

4th

=

=7



Sujinna Pisitkasem

8E Red House (JCO)

02/12/2011

3

0

1

2

3

4

5

6

7

8

0 1 2 3 4 5 6 7 8 9 10

N u m b

e r o f S t u d e n t s

Number of Baskets

Boys Score

Girls Score

The data has been organized into a comparison bar chart to help us see the data visually.

From the Graph, we can tell that …

- The maximum number of baskets year 8 Girls made is 7

- The maximum number of baskets year 8 Boys made is 10

- There are no girls who made 8 or more baskets

The comparison bar chart gives us a quick way of comparing the number of baskets scored

by girls and boys. This shows us that the comparison bar chart is an appropriate type of

graph to use in this assignment. It is better to use a bar chart than a pie chart for this

assignment since there is a 0 frequency which wouldn’t show on a pie chart.

The most useful calculation is Median because we can find out what the middle score of the

Girl’s and Boy’s scores. It is also useful because if we did the mean, we would get decimals

which aren’t as appropriate in this assignment as a whole number.

There are a few limitations to my method since some people we chose to do the experiment

wouldn’t come so we had to replace it with a person which is okay, but, we couldn’t get the

same randomness of the choice. Another limitation we had was borrowing the basketball

because we needed to get a basketball from the PE department and return it at the end of

class which wastes time.

Number of baskets scored by year 8 students.



Sujinna Pisitkasem

8E Red House (JCO)

02/12/2011

4

I believe that the data I collected would’ve been more effective if I did how many baskets

can you score out of 5 because that is more about accuracy not speed and also it doesn’t

take a long time which means we can get more results.

In conclusion, by looking at the results of our collected data, we found at that year 8 girls

have more accuracy in scoring a basket than year 8 boys. This confirms that my hypothesis iscorrect; year 8 girls have more accuracy in scoring baskets than year 8 boys.

Next time, if I could do this assignment again with the same question, I would change how

we did the experiment of how many baskets can you score in 2 minutes into how many

baskets can you score out of 10. I will also take a picture of us doing the experiment as

evidence that we did the experiments.

Documents

08 Math Statistics Report 17SujinnaP