List of top Mathematics Questions on Statistics

Consider the following statements : (A) Mode can be computed from histogram (B) Median is not independent of change of scale (C) Variance is independent of change of origin and scale. Which of these is / are correct ?
Consider the following statements : (1) Measures of dispersion Range,Quartile deviation, mean deviation, variance, standard deviation are measures of dispersion Range = Maximum value - minimum values (2) Mean deviation for ungrouped data M.D. (xˉ)=∑∣xi−xˉ∣n(\bar{x}) = \frac{\sum | x_i - \bar{x} |}{n} M.D. (M)=∑∣xi−M∣n(M) = \frac{\sum | x_i - M |}{n} (3) Mean deviation for grouped data M.D. (xˉ)=∑ fi∣xi−xˉ∣N(\bar{x}) = \frac{\sum \, f_i| x_i - \bar{x} |}{N} M.D. (M)=∑ fi∣xi−M∣N(M) = \frac{\sum \, f_i | x_i - M |}{N} where N=∑ fiN = \sum \, f_i which of the above statements are true?
Consider the first 1010 positive integers. If we multiply each number by −1-1 and then add 11 to each number, the variance of the numbers so obtained is
Coefficient of variation of two distribution are 60 and 70, and their standard deviations are 21 and 16, respectively. What are their arithmetic means?
Coefficient or quartile deviation is defined as
Calculate the mean deviation about the median for the following data.
Calculate the mean deviation about median for the following data.
A measure of dispersion is indicative of the reliability of
A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44, then the mean deviation is