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The mean of 13 observation is 14. If the mean of the first 7 observation is 12 and that of last 7 observation is 16, find the 7th observation. |
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Answer» Let the 7th observation be p. Now, Sum of 13 observation = 13 × 14 = 182. Sum of first 7 observation = 12 × 7 = 84. Sum of last 7 observation = 16 × 7 = 112. Sum of last 6 observation = 112 - p. Sum of 13 observation = Sum of first 7 observation + Sum of last 6 observation = 84 + 112 - p = 196 - p So, 196 - p = 182 =>p = 196 - 182 = 14. Thus, the 7th observation is 14. |
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