Question

What is the sum of mean, mode and median of the following data?

14, 9, 12, 11, 15, 28, 23, 17, 28, 53 ?

• A. 54
• B. 59
• C. 56
• D. 65

Answer 1

Answer:

D. 65

Solution:

Calculation:

Mean of the given data set, $\frac{(14+9+12+11+15+28+23+17+28+53)}{10}=\frac{210}{10}=21$

mode of the given data set is 28

To find median, we have to arrange it in ascending order,

9, 11, 12, 14, 15, 17, 23, 28, 28, 53

Since there are 10 numbers in the data set (an even count), the median is the average of the fifth and sixth values: $\frac{(15+17)}{2}=\frac{32}{2}=16$

Now, the required sum = (21 + 28 + 16) = 65

∴ The correct answer is 65