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AP EAMCET202316 May 2023Evening ShiftMathematicsStatisticsActual

If x₁, x₂, x_n are ' n ' observations and x is their mean. If _ i=1 ^n (x₁- x )^2 is almost zero, then a true statement among the following is

Options

  1. AIt indicates a higher degree of dispersion of the observations from the mean x
  2. BIt indicates that there is no dispersion
  3. C_ i =1 ^ m ( x _ i - x )^2 is the arithmetic mean of the data
  4. DIt indicates that each observation x_i is very close to the mean x and hence degree of dispersion is low.

Correct answer

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

Step-by-step solution

Since _ i =1 ^ n ( x _ i - x )^2 is almost zero. So it indicates that each observation x_ i is very close to the x . Hence degree of dispersion is low.

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