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Question

Find the value of k if the mean of the following data is 17.
xi1014182125fi1015k99


A
7
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B
6
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C
8
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D
9
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Solution

The correct option is A 7

Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations.

xi1014182125fi1015k99xifi10021018k189225
Mean =xififi

xifi=100+210+18k+189+225=724+18k

fi=10+15+k+9+9=43+k

Given that mean = 17

We can write,
17=724+18k43+k

724+18k = 17×(43+k)

18k17k=731724
k=7


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