Question

You improve your time running a course by 5 seconds in week one, by 3 seconds in week two, and by 4 seconds in week three. What is the mean weekly change in your running time?

Answer 1

`\displaystyle \bar x=4\ sec`

Explanation:

Average Value

The mean or average of a number n of measurements is defined as the sum of all values divided by n.

`\displaystyle \bar x=(\sum x_i)/(n)`

The running times in seconds are being improved by the following numbers:

5, 3, 4

This is the dataset where we have to find the mean value. Here n=3. Applying the formula:

`\displaystyle \bar x=(5+4+3)/(3)`

`\displaystyle \bar x=(12)/(3)`

`\displaystyle \bar x=4\ sec`