Questions: The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are given below. 25.1, 23.3, 25.6, 25.7, 22.2, 26.4, 27.3, 29.0, 26.7, 24.7, 28.2, 25.2, 27.9, 26.7, 26.4, 26.2, 26.9, 24.2, 24.9, 26.6 (a) What are the maximum and minimum miles per gallon? maximum mpg minimum mpg What is the range (in mpg)? mpg (b) Construct a relative frequency histogram for these data.

Solution Steps

The given data is: $$25.1, 23.3, 25.6, 25.7, 22.2, 26.4, 27.3, 29.0, 26.7, 24.7, 28.2, 25.2, 27.9, 26.7, 26.4, 26.2, 26.9, 24.2, 24.9, 26.6$$

Maximum miles per gallon: $$\max(25.1, 23.3, 25.6, 25.7, 22.2, 26.4, 27.3, 29.0, 26.7, 24.7, 28.2, 25.2, 27.9, 26.7, 26.4, 26.2, 26.9, 24.2, 24.9, 26.6) = 29.0$$

Minimum miles per gallon: $$\min(25.1, 23.3, 25.6, 25.7, 22.2, 26.4, 27.3, 29.0, 26.7, 24.7, 28.2, 25.2, 27.9, 26.7, 26.4, 26.2, 26.9, 24.2, 24.9, 26.6) = 22.2$$

Range: $$\text{Range} = \max - \min = 29.0 - 22.2 = 6.8$$

Final Answer