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Question

If the median and mode of 4 observations is 4, 6 and the sum of squares of observations is 48. Then
standard deviation is

A
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B
4
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C
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D
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Solution

The correct option is C
Given that median = 4 and mode = 6. We know that
Mean - mode = 3 (Mean - Median)
Mean - 6 = 3 (Mean - 4)
¯x6=3¯x12
¯x=3
σ2=x2in(xin)2=484(3)2=3 σ=3

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