comparing data sets

<object:standard:macc.912.s-id.1.1>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 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:

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

 The females worked less than the males, and the female median is close to Q1. There is a high data value that causes the data set to be asymmetrical for the males. There are significant outliers at the high ends of both the males and the females. Both graphs have the required quartiles.

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):

ReadingVideo4445565859610711812814925

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 25-hour value. The 25-hour value for video does not pass the outlier test of 1.5 • (IQR) + Q3.

Question 4 (Multiple Choice Worth 1 points)

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

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

 The interquartile range for males is larger than the females by more than 10 points. The interquartile range for females is larger by more than 10 points. The interquartile range for females is larger by about 5 points. The interquartile range for males is larger than the females by about 5 points.

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:

 HighLowQ1Q3IQRMedianMeanσCollege5068.5178.51215.411.7High School2834.51510.51110.55.8

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.

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 TownCity506071811552582593510361240184238

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 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:

 HighLowQ1Q3IQRMedianMeanσRome1813746.56.44.3New York1414.58.545.56.13.2

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 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:

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 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:

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 10 (Multiple Choice Worth 1 points)

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

Mid-TermFinal98999893939390938888828678807578757870786872

Which data set has the largest standard deviation?

 Mid-term exams Final exams They have the same standard deviation. There is not enough information.

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