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The mode and median of a data is 19.5 and 85, respectively. What is the mean of the data? (Use empirical formula.)
Question

The mode and median of a data is 19.5 and 85, respectively. What is the mean of the data? (Use empirical formula.)

A.

119.1

B.

118

C.

117.8

D.

118.6

Correct option is C

Given:

Mode = 19.5

Median = 85

Formula Used:

Mode = 3 Median – 2 Mean 

Solution:

Substituting the given values into the formula:

2Mean =  3(85)  - 19.5

2Mean = 255 -  19.5

2Mean = 235.5 

Mean = 117.75

Therefore, the mean of the data is:

Mean =117.8 

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