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Question

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


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

The correct option is A 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 = sum of all datanumber of data

Mean of the data = 14+11+13+16+15+12+18+19+20+1810

= 15610

= 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 = 15+162

= 312

= 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.

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