6th Grade Data Displays Chapter Questions - NJCTLcontent.njctl.org/courses/math/6th-grade-math/data-displays/data... · 6th Grade Data Displays Chapter ... Use the line plot below

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6th Grade Data Displays Chapter Questions

1. Why are there different ways to display data?

2. What are some of the ways to display data?

Chapter Problems

Frequency Tables and Histograms Classwork

1) The following are test grades from your classmates. Organize the data into a frequency table and create a histogram.

100 73 89 65 86 79 83 95 83 96 83 86 76 69 89 79 74 85

2) The following are times that it took children in gym class to run a mile. Organize this data into a frequency table and create a histogram.

7:23 8:02 10:04 7:05 7:50 9:24 6:59 9:01 8:34 7:25 8:55 6:39 7:55 11:01 9:28 8:02 9:54 8:24

3) Organize this data into a histogram.

Length of walk time 21 35 48 63 67 11 19 31 43 15 44 37 42 34 69 67

Time Tally Frequency 10-19 III 3 20-29 I 1 30-39 IIII 4 40-49 IIII 4 50-59 0 60-69 IIII 4


4) a. How many students scored

below 70?

b. How many students scored a 52?

c. Can you determine the exact value of the test grade that was in the 60’s?

5) Create a frequency table and a histogram for the data below. Test Scores 92 84 76 75 85 97 67 48 87 93 87 88 79 68 66 100 99 79 88 81 80 79 99 91 Homework

6) The following is test scores from a math test. Organize these scores into a frequency table and create a histogram.

78 97 49 99 67 47 97 84 79 87 86 51 97 89 87 84 79 75 97 84 83

7) The following is temperatures in New Jersey in August. Organize them into a frequency table and create a histogram.

100 102 105 97 95 101 89 88 90 99 95 93 89 89 96 102 91 99 98 92 103 108 98 92


8) Organize this data into a histogram.

Length of time walked 64 41 38 27 11 48 33 13 61 57 49 37 19 69 45 34 24 12

Time Tally Frequency 10-19 IIII 4 20-29 II 2 30-39 IIII 4 40-49 IIII 4 50-59 I 1 60-69 III 3

9)

a. How many students scored in the 70’s?

b. How many students scored below 70?

c. How many students scored 90 or

above?

10) Create a histogram and a frequency table for the following data. Test Scores 92 97 98 97 85 83 97 85 84 76 79 89 99 84 86 77 51 89 83 97 92 78 85 89

Box-and-Whisker Plots Classwork

11) Use the box-and-whisker plot to find the following:

a. Median


b. Minimum c. Maximum d. Range e. Lower Quartile f. Upper Quartile g. Interquartile Range

Create a box-and-whisker plot for these data:

12) 12, 16, 62, 48, 16, 59, 43, 39 13) Test Grades: 78, 82, 65, 46, 84, 99, 100, 90, 75, 59, 75, 79, 80, 86, 68 14) $21, $50, $78, $13, $45, $5, $12, $37, $61, $11, $77, $31, $19, $11, $29, $16

15) The price of tablets in dollars at Laptop World and PC Mall are shown in the box-and-whisker plots below.

a. What percent of tablets at Laptop World cost less than $325? b. What percent of tablets at PC Mall cost less than $940? c. How does the price of tablets at Laptop World compare to the price of computers at PC

Mall? Homework

16) Use the box-and-whisker plot to find the following:

a. Median b. Minimum c. Maximum d. Range e. Lower Quartile f. Upper Quartile g. Interquartile Range

Create a box-and-whisker plot for each set of data:

17) 30, 57, 34, 40, 32, 52, 54, 48, 56 18) Test Grades: 80, 81, 64, 66, 74, 98, 100, 91, 85, 89, 55, 66, 70, 84, 98 19) 17, 5, 28, 33, 25, 5, 12, 3, 16, 11, 22, 31, 9, 11

Laptop World

PC Mall


20) The box-and-whisker plot below compares the heights of football players on two different

teams.

a. What percent of the Wolverines are 70 inches or taller? b. What percent of the Owls are 75 inches or taller? c. How do the heights of the Wolverines compare to the heights of the Owls?

Dot Plots Classwork Make a line plot for each set of data.

21) 1, 5, 6, 3, 3, 8, 4, 5, 6 22) 130, 160, 140, 180, 160, 160 23) 32, 35, 32, 32, 31, 36, 38, 38, 39

Use the line plot below to answer the following questions.

Game Points Earned Per Team

24) What is the median? 25) What is the minimum? 26) What is the maximum? 27) What is the range? 28) What is the lower quartile? 29) What is the upper quartile? 30) What is the interquartile range? 31) What percent of the teams scored more than 5 points? 32) What is the mode of the data set?

Homework Make a line plot for each set of data.

33) 30, 25, 60, 45, 60, 25, 45 34) 2, 6, 5, 8, 6, 6, 3, 1, 1, 9, 4 35) 82, 86, 85, 95, 84, 96, 95, 84

Owls

Wolverines


Use the line plot below to answer the following questions. Math Test Scores

36) What is the median? 37) What is the minimum? 38) What is the maximum? 39) What is the lower quartile? 40) What is the upper quartile? 41) What is the interquartile range? 42) What percent of the students scored higher than 95%? 43) What is the mode of the test scores? 44) What is the mean of the test scores? (Round to the nearest tenths)

Analyzing Data Displays Classwork Use the histogram below to answer the following questions. Explain your answers.

45) Which measure(s) of center appropriately represents the data? Why? a. Mean b. Median c. Mode

46) Can you determine if the mean or median is greater? If yes, which is greater and why? If not, why are you unable to determine the greater value?

47) What would need to happen in order for the mean and median to be closer in value?


Use the box-and-whisker plot to answer the following questions. Explain your answers. Town Populations in Montana

48) Would the mean or the median represent the data more appropriately in this data set? Why? 49) Is the mean or the median greater? Why? 50) What do you notice about the town populations in the upper half of the data?

Homework Use the histogram below to answer the following questions. Explain your answers.

51) Which measure(s) of center appropriately represents the data? Why?

a. Mean b. Median c. Mode

52) Can you determine if the mean or median is greater? If yes, which is greater and why? If not, why are you unable to determine the greater value?

53) What would need to happen in order the mean and median to be closer in value? Use the box-and-whisker plot to answer the following questions. Explain your answers.

Boxes of Cookies Sold (Per Student)

54) What is the median? 55) What is the range? 56) Would the mean or the median represent the data more appropriately in this data set? Why? 57) Is the mean or the median greater? Why? 58) What do you notice about the number of boxes sold in the lower half of the data?


0

2

4

6

8

10

12

14

16

Poodle Collie Springer Yorkie GermanShepard

Terrier Mixed

Chapter Review Multiple Choice Choose the correct answer for each question. No partial credit will be given.

1. Use the frequency table to determine the number of people that had at least 40 hours of sleep

in a work week.

a. 3 b. 4 c. 7 d. 16

2. Use the histogram above to determine the total number of dogs that are owned by classmates.

a. 15 b. 60 c. 65 d. 70

3. Use the box and whisker plot to determine the false statement.

50% of the data lies:

a. between 105 and 132

b. between 87 and 122

c. between 122 and 147

d. between 122 and 132

Hours of sleep during a work week

Types of Dogs Owned by Classmates

Number of

Classmates


4. Use the box and whisker plot to determine the median

a. 30 b. 105 c. 122 d. 135

Use the Histogram to answer questions #5 and #6.

5. How many students have grades below 70?

a. 2 b. 4 c. 6 d. 7

6. How many students are in this class?

a. 13

b. 14

c. 15

d. 16

6th Period Math Students’ Test Grades

Number

Of

Students


Short Constructed Response – Write the correct answer for each question. No partial credit will be

given.

7. Organize the data into a histogram.

Grade Tally Frequency

50-59 ІІlll 5

60-69 ІІ 2

70-79 0

80-89 llll 4

8. Make a line plot for the set of data.

20, 21, 23, 21, 22, 27, 28, 29, 23, 24, 21, 20, 22, 25, 27, 29


Extended Constructed Response

9.

86 89 68

100 79 68

87 88 89

90 80 68

68 98 88

10. The following data set lists the average daily temperatures for ten days in October.

43, 75, 56, 61, 52, 69, 64, 46, 54, 47

a. Create a frequency table.

b. Use the frequency table to create a histogram.

c. What is the overall pattern of the histogram?

a. Create a Box and whisker plot

b. Explain the five values identified on the Box and Whisker Plot.

c. Use the given data to create one other type of graph learned in this

unit.


Answer Key 1) Test Grades

Grades Tally Frequency

61-70 2

71-80 5

81-90 8

91-100 3

Test Grades

10 8 6 4 2 0 61-70 71-80 81-90 91-100

2) One-Mile Run Time

Times Tally Frequency

6:01-7:00 2

7:01-8:00 5

8:01-9:00 5

9:01-10:00 4

10:01-11:00 1

11:01-12:00 1

One-Mile Run Times 6 5 4 3 2 1 0 6:01- 7:01- 8:01- 9:01- 10:01- 11:01- 7:00 8:00 9:00 10:00 11:00 12:00

3) Walk Times

5 4 3 2 1 0 10-19 20-29 30-39 40-49 50-59 60-69


4) a. 2 b. 0 c. No, cannot determine from the graph.

5) Test Scores

Scores Tally Frequency

41-50 1

51-60 0

61-70 3

71-80 6

81-90 7

91-100 7

Test Scores 10 8 6 4 2 0 41-50 51-60 61-70 71-80 81-90 91-100

6) Test Scores


40-49 2

50-59 1

60-69 1

70-79 4

80-89 8

90-99 5

Test Scores 10 8 6 4 2 0 40-49 50-59 60-69 70-79 80-89 90-99


7) August Temperatures in NJ

Temperatures Tally Frequency

86-90 5

91-95 6

96-100 7

101-105 5

106-110 1

August Temperatures in NJ 8 7 6 5 4 3 2 1 0 86-90 91-95 96-100 101-105 106-110

8) Walk Times 5 4 3 2 1 0 10-19 20-29 30-39 40-49 50-59 60-69

9) a. 4 b. 3 c. 2

10) Test Scores


50-59 1

60-69 0

70-79 4

80-89 11

90-99 8

Test Scores 12 10 8 6 4 2 0 50-59 60-69 70-79 80-89 90-99


11) a. 95 b. 85 c. 130 d. 45 e. 90 f. 120 g. 30

12) Minimum: 12 Q1: 16 Q2:41 Q3:53.5 Maximum: 62

13) Minimum: 46 Q1: 68 Q2: 79 Q3: 86 Maximum: 100


15) a. 25% b. 75% c. Answers will vary. The price of tablets is generally cheaper at Laptop World.

16) a. 77 b. 62 c. 95 d. 33 e. 69 f. 85 g. 16



18) Minimum: 55 Q1:66 Q2: 81 Q3: 91 Maximum: 100

19) Minimum: 3 Q1: 7 Q2: 14 Q3: 26.5 Maximum: 33

20) a. 75% b. 50% c. Answers will vary. The Wolverines have a larger range of heights than the Owls.

21) x x x

x x x x x x 1 2 3 4 5 6 7 8 9 10

22)

x x x x x x 130 140 150 160 170 180

23) x x x x x x x x x 31 32 33 34 35 36 37 38 39 40

24) 8 25) 0 26) 10


27) 10 28) 5.5 29) 8.5 30) 3 31) 75% 32) 8

33) x x x x x x x

25 30 35 40 45 50 55 60

34) x x x x x x x x x x x 1 2 3 4 5 6 7 8 9 10

35) x x x x x x x x 80 82 84 86 88 90 92 94 96 98

36) 91 37) 88 38) 98 39) 89 40) 95 41) 6 42) 33% 43) 89% 44) 92.2% 45) B, C 46) Yes, Median 47) Answers will vary. The data ranges from 30-99. The lower grades bring down the mean. If the

30 grade was removed from the data set, the mean would be closer to the median. 48) Mean 49) Mean 50) Answers will vary. The upper half of the data has a higher range of data values than the lower

half. 51) A, B, C 52) Yes, Median 53) Answers will vary. Remove the low 40-49 grades from the data set.


54) 95 55) 45 56) Mean 57) Mean 58) There were less sold. The data values were closer in value and did not vary as much as the

upper half of the data. Unit Review

1. C 2. B

3. D 4. C

5. D 6. C

7.

8. X X X X X X X X X X X X X X X X 20 21 22 23 24 25 26 27 28 29

5

2

0

4

0

1

2

3

4

5

6

50 - 59 60-69 70-79 80-89

GRADES

GRADES


9. B. See data above. Also, range: 32, IQR: 21

C. Answers will vary

10. a. Temperatures in October

Temperature Tally Frequency

40-49 3

50-59 3

60-69 3

70-79 1

b. Temperatures in October

c. Answers will vary. Most of the temperatures were concentrated between 40-69 degrees.

0

0.5

1

1.5

2

2.5

3

3.5

40-49 50-59 60-69 70-79

http://www.mathwarehouse.com/charts/box-whisker-renderer.php?&d=,86,89,68,100,79,68,87,88,89,90,80,68,68,98,88&w=500&t=My Box and Whisker Title&textTitle=0xeb0908&gcol=0x330066&fill=0x9999ff&bg=0xffffff&dataDisplay=alldata&r=1348621881235&dl=1

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6th Grade Data Displays Chapter Questions - NJCTLcontent.njctl.org/courses/math/6th-grade-math/data-displays/data... · 6th Grade Data Displays Chapter ... Use the line plot below