Variance and standard deviation - class-XII
Description: variance and standard deviation | |
Number of Questions: 26 | |
Created by: Muni Gupte | |
Tags: economics statistics and probability measures of dispersion maths |
The measure of dispersion is
The measure of dispersion is
Which one is correct?
Statement 1:Positional measure of dispersion describes about the position that a particular data value has within a data set.
Statement 2:Quartiles and percentiles are positional measure of dispersion.
If $\sum\limits _{i = 1}^9 {\left( {{x _i} - 5} \right) = 9}$ and $\sum\limits _{i = 1}^9 {{{\left( {{x _i} - 5} \right)}^2}} = 45$, then the standard deviation of the $9$ items ${x _1},{x _2},.....,{x _9}$ is
What are the advantages of squaring a difference for calculating variance and standard deviation?
Which of the following are positional measure of dispersion?
If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, then its mean is
The sum of squares of deviations for $10$ observations taken from mean $50$ is $250 $. Then Co-efficient of variation is
The Coefficient of Variation is given by:
If mean of a series is 40 and variance 1486, then coefficient of variation is
If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, the its mean is
The sum of the squares of deviation of 10 observations from their mean 50 is 250, then coefficient of varition is
The sum of the squares of deviation of 10 observations from their mean 50 is 250, then coefficient of variation is
The mean of a distribution is 4. If its coefficient of variation is 58%. Then the S.D. of the distribution is
For the given data, SD = 10, AM = 20, the coefficient
of variation is____
For the given data, SD $= 10$, AM $= 20$ the coefficient of variation is ...........
The mean of a distribution is $14$ and standard deviation is $5$. What is the value of the coefficient of variation?
If the standard deviation of a set of scores is $1.2$ and their mean is $10$, then the coefficient of variation of the scores is
If $n=10, \bar{x}=12$ and $\sum x^2=1530$, then calculate the coefficient of variation.
If the standard deviation of $x _{1},x _{2},.....x _{n}$ is 3.5, then the standard deviatiuon of $-2x _{1}-3,-2x _{2}-3....,-2x _{n}-3$ is
If $\sigma$ $f _i$ $x _i$ = 20 and $\sigma$ $f _i$ = 4, what is the mean of the data.
The variance of the data $6,\ 8,\ 10,\ 12\,,14\,,\ 16,\ 18,\ 20,\ 22,\ 24$ is
The variate x and u are related by $\displaystyle u= \frac{x-a}{h}$ then correct relation between $\displaystyle \sigma _{x}:and:\sigma _{u}$
Standard deviation of a collection of data is $2\sqrt{2}$. If each value in a data set is multipled by $3$, then the standard deviation of the new data is.
If the standard deviation of $x _1, x _2, .., x _n$ is $3.5$, then the standard deviation of $-2x _1-3, -2x _2-3$,....., -2x_n-3$ is?
Consider the following statements.Which of these is/are correct?