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comparing data sets

comparing data sets

Daniel Kevins

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two bar graphs shown. The top one is labeled Class. Minimum at 68, Q1 at 71, median at 84, Q3 at 89, maximum at 100. The bottom bar graph is labeled Exam. Minimum at 55, Q1 at 76, median at 85, Q3 at 94, maximum at 100.

Which of the following best describes the information about the medians?

Question 2 (Multiple Choice Worth 1 points)

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Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:

two bar graphs shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom bar graph is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18

Identify any values of data that might affect the statistical measures of spread and center.

Question 3 (Multiple Choice Worth 1 points)

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The table shows data from a survey about the amount of time high school students spent reading and the amount of time spent watching videos each week (without reading):

Reading	Video
4	4
4	5
5	6
5	8
5	9
6	10
7	11
8	12
8	14
9	25

Which response best describes outliers in these data sets?

Question 4 (Multiple Choice Worth 1 points)

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The box plots show male and female grades in a sociology class:

two bar graphs shown. The top one is labeled Male. Minimum at 78, Q1 at 88, median at 81, Q3 at 96, maximum at 99. The bottom bar graph is labeled Female. Minimum at 72, Q1 at 82, median at 86, Q3 at 95, maximum at 100.

Which of the following best describes the information about the interquartile ranges?

Question 5 (Multiple Choice Worth 1 points)

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The table shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:

	High	Low	Q1	Q3	IQR	Median	Mean	σ
College	50	6	8.5	17	8.5	12	15.4	11.7
High School	28	3	4.5	15	10.5	11	10.5	5.8

Which of the choices below best describes how to measure the spread of this data?

Question 6 (Multiple Choice Worth 1 points)

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The table shows data from a survey about the number of times families travel by car or taxi during an average week. The families are either from a rural town (population under 5,000) or a large city (population over 1 million):

Rural Town	City
5	0
6	0
7	1
8	1
15	5
25	8
25	9
35	10
36	12
40	18
42	38

Which of the choices below best describes how to measure the center of this data?

Question 7 (Multiple Choice Worth 1 points)

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The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York:

	High	Low	Q1	Q3	IQR	Median	Mean	σ
Rome	18	1	3	7	4	6.5	6.4	4.3
New York	14	1	4.5	8.5	4	5.5	6.1	3.2

Which of the choices below best describes how to measure the center of this data?

Question 8 (Multiple Choice Worth 1 points)

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The box plots show the average daily temperatures in July and August for a U.S. city:

two bar graphs shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom bar graph is labeled August games. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100

What can you tell about the means for these two months?

Question 9 (Multiple Choice Worth 1 points)

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The box plots show attendance at a local movie theater and high school basketball games:

two bar graphs shown. The top one is labeled Movies. Minimum at 100, Q1 at 130, median at 165, Q3 at 185, maximum at 200. The bottom bar graph is labeled Basketball games. Minimum at 135, Q1 at 225, median at 248, Q3 at 275, maximum at 300.