Question

When data consist of rates of change, such as speeds, the harmonic mean is an appropriate measure of central tendency. The harmonic mean for n data values, assuming no data value is 0, is given by the equation below. Suppose you drive 53 miles per hour for 100 miles, then 67 miles per hour for 100 miles. Use the harmonic mean to find your average speed. (Round your answer to two decimal places.)

Answer 1

The answer is "64.19".

Explanation:

`\text{Average speed = Harmonic mean speed}`

`= (2)/((1)/(60) + (1)/(69))\\\\ = (2)/((69+60)/(4,140) )\\\\ = (2)/((129)/(4,140) )\\\\= (2)/(0.0311594203 )\\\\ = 64.1860465 \\\\ \bold{= 64.19}`

The final answer is "64.19".