# Algebra – 06.02

Algebra – 06.02. 06.02 Comparing Data Sets

Question 1

The table shows data for a class’s mid-term and final exams:

 Mid-Term Final 96 100 95 85 92 85 90 83 87 83 86 82 82 81 81 78 80 78 78 78 73 75

Which data set has the smallest IQR?

 They have the same IQR. Mid-term exams

 Final exams There is not enough information.

Question 2

The box plots show student grades on the most recent exam compared to overall grades in the class:

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

 The class and exam medians are almost the same. The exam median is much higher than the class median.

 The class and exam Q3 are the same, but the exam has the lowest median. The low outlier on exams pulls the median lower.

Question 3

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

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

 The interquartile ranges are quite close in value. The male interquartile range is not accurate because the first quartile is missing.

 The interquartile range for females is skewed left due to the high median. The interquartile range for males should be higher because its overall range is higher.

Question 4

Which of the following best describes how to measure the spread of the data?

 The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games.

 The IQR is the best measurement of spread for games and movies. The standard deviation is the best measurement of spread for games and movies.

Question 5

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

 The August high is above the July median. This makes it hard to know about the means. Both months have the same low temperature. This makes it hard to know about the means.

 It is unlikely, but possible that the July mean could be higher. There is no way to tell what the means are.

Question 6

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):

Which response best describes outliers in these data sets?

 Neither data set has suspected outliers. The range of data is too small to identify outliers.

 Video has a suspected outlier in the 26-hour value. Due to the narrow range of reading compared to video, the video values of 18, 21, and 26 are all possible outliers.

Question 7

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:

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

 The zero hour mark on both plots prevents the graphs from being balanced. The median is near the center of the IQR for both males and females.

 There is not enough evidence to see any effects on spread or center. The males have a suspected significant high outlier.

Question 8

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):

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

 Both centers are best described with the mean. Both centers are best described with the median.

 The country data center is best described by the mean. The city data center is best described by the median. The country data center is best described by the median. The city data center is best described by the mean.

Question 9

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:

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

 Both centers are best described with the mean. Both centers are best described with the median.

 The Rome data center is best described by the mean. The New York data center is best described by the median. The Rome data center is best described by the median. The New York data center is best described by the mean.

Question 10

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:

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

 Both spreads are best described with the IQR. Both spreads are best described with the standard deviation.

 The college spread is best described by the IQR. The high school spread is best described by the standard deviation. The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Algebra – 06.02

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