Question

A sample of 14 high school seniors are asked, " how many hours a week do you work?". Their responses are below.

Answer 1

• The mean of the number of hours worked by these students is 14 hours.
• The median is 12.5 hours.

The mean is the sum of all the hours listed divided by the number of seniors asked:

= ( 0 + 0 + 0 + 8 + 8 + 10 + 12 + 13 + 15 + 15 + 17 + 20 + 22 + 56) / 14

= 196 / 14

= 14 hours

The mean number of hours is 14 hours.

The median

Because the number of student interviewed is an even number, the median is calculated by taking the average of the two numbers in the middle.

The numbers are ⇒ 12, 13

Median is therefore :

= ( 12 + 13) /2

= 12.5 hours  

In conclusion, the mean is 14 hours and the median is 12.5 hours.

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