The mean of 13 observations is 14. If the mean of the first 7 observations is 12 and that of the last 7 observations is 16, find the 7th observation.
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Step-by-step explanation:
Sum of all observations =13×14=182
Sum of the first 7 observations =7×12=84
Sum of the last 7 observations=7×16=112
Sum of the first 7 observations + Sum of the last 7 observations = sum of total terms + 7
th
term$$
⇒84+112=182+7
th
term
Therefore, 7
th
term =196−182=14
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