Mathematics
The median of the observations 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 are arranged in ascending order is 24. Find the value of x and hence find the mean.
Measures of Central Tendency
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Answer
No. of observations (n) = 9.
Here, n = 9, which is odd.
Median = th term
= = 5th term
= x + 4.
Given, median = 24
⇒ x + 4 = 24
⇒ x = 20.
Observations = 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47
= 11, 12, 14, 18, 24, 29, 32, 38, 47.
Sum of observations = 11 + 12 + 14 + 18 + 24 + 29 + 32 + 38 + 47
= 225.
Mean = = 25.
Hence, x = 20 and mean = 25.
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