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Q.

Median and mode of a data are 12 and 15. Find mean of the data.

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a

10.5

b

15

c

20.5

d

30

answer is A.

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Detailed Solution

Given that, median is 12 and mode is 15.
So,

Mode = 3 Median − 2 Mean ⇒ 15 = 3 (12) − 2 Mean ⇒ 2 Mean = 36 − 15 ⇒ 2 Mean = 21 ⇒ Mean = 10.5

Thus, the mean of data is 10.5.
Therefore, option (1) is correct.

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Median and mode of a data are 12 and 15. Find mean of the data.