A police officer uses a radar gun to determine the speed of five vehicles traveling on the highway. The speeds of those vehicles are as follows: 73, 62, 57, 67, 61.

1. Calculate the mean speed of the five vehicles.
2. What proportion of vehicles traveled slower than 62 miles per hour?
3. What is the median of the data?

Options:
A. 64
B. 0.40
C. 0.60
D. 62
E. 57
F. 73

The mean speed of the five vehicles is 64 miles per hour. The proportion of vehicles that traveled slower than 62 miles per hour is 0.40 or 40%. The median of the data is 62 miles per hour.

Explanation:

To calculate the mean speed of the five vehicles, we add up all the speeds and divide the sum by the total count:

Mean speed = (73 + 62 + 57 + 67 + 61) / 5 = 320 / 5 = 64

Therefore, the mean speed of the five vehicles is 64 miles per hour.

To find the proportion of vehicles that traveled slower than 62 miles per hour, we count the number of vehicles with speeds less than 62 and divide it by the total count:

Number of vehicles traveling slower than 62 miles per hour = 2

Proportion = Number of vehicles traveling slower than 62 miles per hour / Total count = 2 / 5 = 0.4

Therefore, 0.40 or 40% of the vehicles traveled slower than 62 miles per hour.

To find the median of the data, we arrange the speeds in ascending order: 57, 61, 62, 67, 73. Since there is an odd number of values, the median is the middle value, which is 62 miles per hour.

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