1. 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.
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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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