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The mean and median of 7 observations are 10 and 9, respectively. If 1 is subtracted from each observation, then the new mean and the new median will
Question

The mean and median of 7 observations are 10 and 9, respectively. If 1 is subtracted from each observation, then the new mean and the new median will respectively be:

A.

7 and 6

B.

8 and 9

C.

9 and 8

D.

4 and 3

Correct option is C

Given:

Mean of 7 observations = 10

Median of 7 observations = 9

1 is subtracted from each observation.

We are to find the new mean and median after subtracting 1 from each observation.

Solution:
The new mean will be:

New Mean = Old Mean – 1 = 10 – 1 = 9

The new median will be:

New Median = Old Median – 1 = 9 – 1 = 8
The new mean is 9 and the new median is 8.

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