List of top Mathematics Questions on Statistics

For a given distribution of marks mean is 35-16 and its standard deviation is 19-76. The co efficient of variation is

Following are the marks obtained by $9$ students in a mathematics te st: $50, 69, 20, 33, 53, 39, 40, 65, 59$ Mean deviation from the median is

Following are the marks obtained, out of $100$, by two students Ravi and Hashina in $10$ tests. Who is more intelligent and who is more consistent?

Find the variance of first $10$ multiples of $3$.

Find the variance of the following data: $6, 8, 10, 12, 14, 16, 18, 20, 22, 24$

Find the standard deviation for the following data:

Find the range of the data $35$, $50$, $48$, $62$, $27$, $39$, $43$, $72$, $56$, $68$.

Find the mean of first $10$ multiples of $3$.

Find the median of $18, 35, 10, 42, 21 $

Find the $C.V.$ of the following data :

Fill in the blanks. (i) The standard deviation of a data is of any change in origin, Put is on the change of scale. (ii) The sum of squares of the deviations of the values of the variable is when taken about their arithmetic mean. (iii) The mean deviation of the data is when measured from the median. (iv) The standard deviation is to the mean deviation taken from the arithmetic mean.

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. $(\bar{x}) = \frac{\sum | x_i - \bar{x} |}{n}$ M.D. $(M) = \frac{\sum | x_i - M |}{n}$ (3) Mean deviation for grouped data M.D. $(\bar{x}) = \frac{\sum \, f_i| x_i - \bar{x} |}{N}$ M.D. $(M) = \frac{\sum \, f_i | x_i - M |}{N}$ where $N = \sum \, f_i$ which of the above statements are true?

Consider the first $10$ positive integers. If we multiply each number by $-1$ and then add $1$ 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