The mean of 31 results is 60. If the mean of the first 16 results is 58 and that of the last 16 results is 62,
find the 16th result.
It is given that
Mean of 31 results = 60
So the total sum = 31 (60) = 1860
We know that
Mean of first 16 results = 58
So the total sum = 16 (58) = 928
Mean of last 16 results = 62
So the total sum = 16 (62) = 992
We get the 16th result = total sum of first 16 results + total sum of last 16 results – total sum of 31 results
By substituting the values
16th result = 928 + 992 – 1860
On further calculation
16th result = 1920 – 1860 = 60
Therefore, the 16th result is 60.
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