Question

Given the data set, which of the following represents its mean, median, and mode?

• A. 14, 15, 18
• B. 15.6, 15.5, 18
• C. 16, 14, 18
• D. 13, 15.5, 16

Answer 1

The correct option is B 15.6, 15.5, 18

The given data set is

14, 11, 13, 16, 15, 12, 18, 19, 20, 18

Total number of data = 10

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

Mean of the data = $\frac{14+11+13+16+15+12+18+19+20+18}{10}$

= $\frac{156}{10}$

= 15.6

Arranging the numbers in ascending order, we get

11, 12, 13, 14, 15, 16, 18, 18, 19, 20

For a set with an even number of values, the median is the mean of the two middle values.

Median = $\frac{15+16}{2}$

= $\frac{31}{2}$

= 15.5




The mode of the data set is the value or values that occur most often.

Mode = 18


Hence, the mean, median and mode of the data set are 15.6, 15.5 and 18 respectively.