Quiz 1: Quantitative Representations of Data

The dot plot shown represents the number of pets owned by students in a class. Which statement about the data is not true.

• The median is 2.

• The interquartile range is 2

• The mean is 3.

• The data contains no outliers.

Ms. Bayle recorded the heights (in inches) of the students in her class and represented the data in a stem and leaf plot. Based on the graph, what is the total number of students in the class?

Explain how you got your answer.

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If each member of the data set {2, 2, 3, 5, 8} is multiplied by 2, which changes will take place in the mean, median, and mode of the data?

• The mean, median and mode will be multiplied by 2.

• The median will remain the same; the mean and mode will be multiplied by 2.

• The mode will remain the same; the mean and median will be multiplied by 2.

• The mean will remain the same; the median and mode will be multiplied by 2.

Rosario and Enrique are in the same math class. On the five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average.

• 15 points

• 2 points

• 3 points

• 4 points

Ms. Brodie drew two box-and-whisker plots to represent her students' scores on the mid-year test and the final exam. What do the plots tell you about the progress of Ms. Brodie's class?

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What is the value of the third quartile shown on the box-and-whisker plot?

• 6

• 8.5

• 10

• 12

Different ways to represents data are shown. Which data representations have a median of 2?

• I and II, only

• I and III, only

• II and III, only

• I, II, and III

The table shows a cumulative frequency distribution of runners' ages. According to the table, how many runners are in their forties?

• 25

• 10

• 7

• 6