If {\x}_1, {\x}_2, . . . {\x}_{ {\n}} are 'n' observations and \overline{ {\x}} is their mean. If \sum_{{ {\i}=1}}^{{ {\n}}} ( {\x}_{ {\i}}-\overline{ {\x}}) ^2 is almost zero, then a true statement among the following is

Correct Answer is : It indicates that each observation xi is very close to the mean x and hence degree of dispersion is low.

It indicates a higher degree of dispersion of the observations from the mean \overline{x}

It indicates that there is no dispersion

\sum_{i=1}^{n} (x_i-\overline{x}) ^2 is the arithmetic mean of the data

It indicates that each observation x_i is very close to the mean \overline{x} and hence degree of dispersion is low.

AP EAPCET 16th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 34 of 160

Marks: +1, -0

If x1,x2,...xn are 'n' observations and x is their mean. If

∑

i=1

(xi−x)2 is almost zero, then a true statement among the following is

It indicates a higher degree of dispersion of the observations from the mean x
It indicates that there is no dispersion
n
∑
i=1
(xi−x)2 is the arithmetic mean of the data
It indicates that each observation xi is very close to the mean x and hence degree of dispersion is low.

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