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Question

The mean of 15 observations is 8. If the mean of the first eight observations is 7 and that of the last eight observations is 10, then the value of the 8th observation is _____.


A

16

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B

15

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C
14
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D
13
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Solution

The correct option is A

16


We know that,
Mean = Sum of all observationsNumber of observations

Sum of values of all the observations
=Mean×Number of observation
=15×8
=120

So, sum of the first eight observations
=Mean×Number of observation
=7×8
=56
Sum of the last eight observations
=Mean×Number of observation
=10×8
=80


Hence, value of the 8thobservation
=(80+56)120
=16


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