Question

the dot plot shows the fuel economy (number of miles per gallon) of fifteen new cars. select true or false for each statement. the median fuel economy is 22 miles per gallon. the range of the data is 15 mpg. the interquartile range is 7

Explanation:

Step1: Find the median

The data set has 15 values. The median is the 8th value when ordered. Counting the dots: 16 (1), 20 (2), 20 (3), 21 (4), 22 (5), 22 (6), 22 (7), 26 (8). So the median is 26, not 22.

Step2: Calculate the range

The range is the maximum - minimum. Maximum is 32, minimum is 16. Range = \(32 - 16=16
eq15\).

Step3: Calculate the inter - quartile range

First, find \(Q_1\) (the 4th value) and \(Q_3\) (the 12th value). \(Q_1 = 21\), \(Q_3=28\). Inter - quartile range \(=Q_3 - Q_1=28 - 21 = 7\).

Answer:

• The median fuel economy is 22 miles per gallon: False
• The range of the data is 15 mpg: False
• The interquartile range is 7: True