Mathematics
The mean of numbers 45, 52, 60, x, 69, 70, 26, 81 and 94 is 68. Find the value of x. Hence, estimate the median for the resulting data.
Statistics
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Answer
Sum of observations = 45 + 52 + 60 + x + 69 + 70 + 26 + 81 + 94 = 497 + x
No. of observations (n) = 9
Mean =
68 =
612 = 497 + x
x = 612 - 497 = 115.
Here, n = 9, which is odd.
Median = th term
=
= 5th term
= 69.
Hence, mean = 115 and median = 69.
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