Question

The price of certain comic books is listed


The sales tax for each book is 2 dollars. Which of the following gives the mean and median of the given data with and without tax?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

The given data set is

22, 15, 28, 12, 13

Mean = $\frac{sumofalldata}{numberofdata}$

= $\frac{22+15+28+12+13}{5}$

= $\frac{90}{5}$

= 18

For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.

Arranging the numbers in ascending order, we get

12, 13, 15, 22, 28

Median = 15

If 2 dollars is added to the price of books, we get the new data set as

24, 17, 30, 14, 15

Mean = $\frac{sumofalldata}{numberofdata}$

= $\frac{24+17+30+14+15}{5}$

= $\frac{100}{5}$

= 20

Arranging the new data set in ascending order, we get

14, 15, 17, 24, 30

Median = 17

Hence, the option


gives the mean and the median of the data with and without sales tax.