Question

The highway speeds of 100 cars are summarized in the frequency distribution below. Find the mean speed. Speed (MPH) Cars 30-39 5 40-49 18 50-59 50 60-69 17 70-79 10

Answer 1

The mean speed of the 100 cars is 55.4

How to determine the mean?

The table of values is given as:

Speed (MPH) Cars

30-39              5

40-49              18

50-59             50

60-69              17

70-79              10

Rewrite the frequency table to include the class midpoints

x                   f

34.5               5

44.5              18

54.5             50

64.5              17

74.5              10

The mean speed is then calculated as:

$\bar x =\frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{34.5 * 5 + 44.5 * 18 + 54.5 * 50 + 64.5 * 17 + 74.5 * 10}{100}$

Evaluate

$\bar x = 55.4$

Hence, the mean speed is 55.4

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