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. |