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Question
For the given data given below, calculate the mean of its median and mode.
6, 2, 5, 4, 3, 4, 4, 2, 3
Solution
Given data in ascending order is 2, 2, 3, 3, 4, 4, 4, 5, 6
Hence, n = 9 .....(Odd)
Median = Value of `((n + 1)/2)`th observation
= Value of `((9 + 1)/2)`th observation
= 5th observation
= 4
Mode = Most frequent observation = 4
Mean is the central value.
∴ Mean = `1/2 [3 xx "Median" - "Mode"]`
= `1/2 [3 xx 4 - 4]`
= `1/2 [12 - 4]`
= `1/2 xx 8`
= 4
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