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Find the median of the data whose mean is 46 and mode is 45, using empirical relation (Round the answer off to one decimal place).
Question

Find the median of the data whose mean is 46 and mode is 45, using empirical relation (Round the answer off to one decimal place).

A.

45.9

B.

45.1

C.

45.5

D.

45.7

Correct option is D

Given:

Mode of data = 45

Mean = 46

Formula Used:

Mode = 3Median - 2Mean

Solution:

Mode = 3Median - 2Mean

45 = 3Median - 2(46)

3Median = 45 + 92

Median =1373=45.6645.7 \frac{137}{3} = 45.66 \sim 45.7​​

Hence Median of data is 45.7

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