Maths · Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data
Variance remains unchanged by change of
Variance remains unchanged by change of
- A. scale
- B. origin
- C. both
- D. none of these
Step-by-step solution
Variance is a measure of dispersion that is unaffected by adding a constant (change of origin) to all data points, but is affected by multiplying by a constant (change of scale) because it scales by the square of the constant.
Related MCQs
- In an experiment with 15 observations on then following results were available: One observation that was 20 was found to be wrong and was re…
- The variance of observations 112,116,120,125,132 is…
- The variance of the data 6,8,10,12,14,16,18,20,22,24 is…
- Which of the following are dimensionless…
- Assertion If i.e. =\mathbf{0 . 2 5}, \boldsymbol{\sigma}_{\boldsymbol{x}}=\mathbf{0 . 1}, \boldsymbol{\sigma}_{\boldsymbol{y}}= \) then Reas…