Set, Relation and FunctionMedium
Question
Consider any set of 201 observations x1, x2,...., x200, x201. It is given that 1 < 2 < .... < 200 < 201. Then the mean deviation of this of observations about a point k is minimum whenk equals
Options
A.(x1 + x2 + .....+ x200 + x201) / 201
B.x1
C.x101
D.x201
Solution
Given that,x1 < x2 < x3 < .... < x201
∴ Median of the given observation =
th item x01
Now, deviations will be minimum, if we taken from the median.
∴ Mean deviations will be minimum, if k = x01
∴ Median of the given observation =
th item x01 Now, deviations will be minimum, if we taken from the median.
∴ Mean deviations will be minimum, if k = x01
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