Question

you are helping organize a local charity run. after the event, you randomly survey 20 participants and record the number of kilometers they ran. the reported distances (in kilometers) are as follows:

3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10

estimate the population mean for the number of kilometers run by participants based on this sample. round your answer to two decimal places.

type your answer in the box.

the estimated population mean is:

Explanation:

Sum the sample values

$$ \sum x_i = 3 + 3 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 10 + 10 = 131 $$

Calculate the sample mean

$$ \bar{x} = \frac{\sum x_i}{n} = \frac{131}{20} = 6.55 $$

Answer:

The estimated population mean is: <blank>6.55</blank>