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Class 10 > Learn Mathematics > The mean of 13 items is 14. If the mean of first 7...
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The mean of 13 items is 14. If the mean of first 7 items is 12 and that of the last 7 items is 16. Find the 7th item?

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Sum of 13 items=S = 13 x 14=182. Sum of 1st 7 items=S1 = 7 x 12=84. Sum of last 7 items=S2 = 7 x 16=112. So, S1 + S2=Sum of 13 items + the 7th item=S + 7th item --> 182 + 7th item=84 + 112=196. --> 7th item = 196 - 182 = 14 Answer: 14.
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