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. |
