Math 6

Unit 1: Data Analysis

Study guide

1. What is data?

2. What is the difference between categorical and numerical data?

3. What are the differences between a bar graph and a histogram?

Number of Pets in each Family

xx

xxx

xxxx

xxxxx

xxxxxx

xxxxxx

012345

(Number of Pets)

Use the line plot above to answer the following question.

4. How many families have at least 4 or more pets?

5. Explain how data can be organized in grouped and ungrouped tables

6. Create a stem and leaf plot for the following test grades data and answer the questions:

67, 82, 73, 42, 78, 86, 84, 99, 91, 94

What is the range of the data? _____

What is the mean and median of the data? Mean: ______Median: ______

7. Create a histogram of the following number of Olympic Medals won by these countries:

8, 88, 59, 12, 11, 57, 38, 17, 14, 28, 28, 26, 25, 23, 18, 8, 29, 34, 14, 17, 13, 13, 58, 12, 97, 10, 9

(Hint: make your scale, intervals, frequency table, and then histogram)

8. Choose a graph to represent the following data:

Ages at a party: 10, 14, 13, 12, 10, 14, 14, 12, 11, 9, 11, 9, 15

9. Use the data above to create a histogram.

Time Spent Listening to Music

Adults X X X X X X X X /

Teens X X X X X X X X X X X

Children X X X /

X = 8 hours

Use the above pictograph to answer questions 10-11.

10. How many more hours do adults listen to music than children?

A. 5B. 40C. 50D. 15

11. How many hours do all the age groups like to listen to music combined?

A. 200B. 184C. 225D. 55

12. What type of graph would be used to show how something changes overtime?

A. pictographB. histogramC. bar graphD. line graph

13. What graph would you use to represent intervals of a range of ages?

A. histogramB. pictographC. bar graphD. line graph

14. What type of graph can not be used for categorical data?

A. bar graphB. stem & leaf plotC. circle graphD. pictograph

15. If an X stands for 8 people on a pictograph, how many X’s would you need for 76 people?

A. 9B. 9 ½C. 9 ¾D. 10

16. What type of “eye-catching” graph is used most often in newspapers and magazines to compare data?

A. histogramB. pictographC. bar graphD. line graph

Use the stem and leaf plot above to answer the following question.

17. What is the difference between the highest and lowest test grade (range)?

18. In the histogram below, which age group had the greatest number of visits to the SportsCenter?

A. 0-19B. 20-39C. 40-59D. 60-79

19. The stem and leaf plot below shows the test scores of a math class.

Stem Leaf

10 0

9 0,2,5,5,8

8 0,2,5,8,8,8

7 2,5,5

6 2,5,8

5 0,2,5,5

What is the mode score on the math test?

A. 55B. 75C. 88D. 95

20. What measure is best used with categorical data?

A. meanB. medianC. modeD. range

21. Use the line plot below to answer the questions below.

What is the mode of the data?

A. 4B. 6 C. 7D. 9

How many students picked a 6, 7, or 8?

A. 3B. 4 C. 7D. 13

22. What 2 things must go on all tables and graphs?

______

23.