Question

A random sample of 12 joggers was asked to keep track and report the number of miles they ran last week. The responses are 5.5 7.2 1.6 22.0 8.7 2.8 5.3 3.4 12.5 18.6 8.3 6.6 Calculate Mean, Median, Mode

Answer 1

Median =
`6.9` miles, Mean =
`8.54` miles, No modes

Explanation:

Fastly, we write the number of miles ran must be sorted into ascending order.

`1.6,2.8,3.4,5.3,5.5,6.6,7.2,8.3,8.7,12.5,18.6,22`

Here, the number of term's is 12 (even)

Thus, Median = simple average of middle two numbers.

Median =
`(6.6+7.2)/(2)`

`=6.9` miles

Therefore, Median =
`6.9` miles

The mean of the given data is the average of the given 12 values.

mean =
`(1.6+2.8+3.4+5.3+5.5+6.6+7.2+8.3+8.7+12.5+18.6+22)/(12)`

`= (102.48)/(12)`

`= 8.54` miles

Therefore, Mean =
`8.54` miles

The mode is where the data peaks, the most frequently seen number. This data set does not have a mode. It is a very small sample and does not show a normal curve.