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Q.

The mean of 7 observations is 20. If the mean of the first 4 observations is 12 & that of the last 4 observations is 28, find the 4th observation.

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a

5

b

1

c

0

d

8

answer is C.

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Detailed Solution

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Since the mean of 7 observations = 20

Now, Total of 7 observation = 20 x 7 = 140
Mean of first 4 observations = 12
Total of the first 4 observations = 12 x 4 = 48
Mean of first 4 observations = 4 x 28 = 92
Total of first 4 observations =26
Total of 7 observations + 4th observation = 48 + 92
=> 140 + 4th observation = 140
=>  4th observation = 140 – 140 = 0

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