Measures of Dispersion

The mean of$5$ observations is $4.8$ and the variance is $6.56$. If three of the five observations are $1,3$ and $8$, find the other two observations.

Following data gives age of $100$ students in a college. Calculate variance and S.D.

Compute the variance and S.D.

Compute variance and standard  deviation for the following data:

Find variance and S.D. for the following set of numbers.

$65, 77, 81, 98, 100, 80, 129$

Find variance and S.D. for the following set of numbers.

$7, 11, 2, 4, 9, 6, 3, 7, 11, 2, 5, 8, 3, 6, 8, 8, 2, 6$

Compute coefficient of variation for team A and team B.

The following table gives weights of the students of two classes. Calculate the coefficient of variation of the two distributions. Which series is more variable?

The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called:

If the observations of a variable $X$ are, $-4, -20, -30, -44$ and $-36$, then the value of the range will be:

Given below is the information about marks obtained in Mathematics and Statistics by $100$ students in a class. If the coefficient of variation of the subject showing the highest variability in marks is $k\%$ then find the value of $k$.

A group of $65$ students of class XI have their average height is $150.4$ cm with coefficient of variance $2.5\%$. What is the standard deviation of their height(in cm)?

Calculate coefficient of variation correct up to second decimal place of marks secured by a student in the exam, where the marks are: $85, 91, 96, 88, 98, 82$

For a certain data, following information is available.

Obtain the combined standard deviation rounding off upto second decimal places.

The means of two samples of sizes $60$ and $120$ respectively are $35.4$ and $30.9$ and the standard deviations $4$ and $5$. Obtain the standard deviation of the sample of size $180$ obtained by combining the two sample correct upto two decimal places.

Find range for the following data.

Following results were obtained by rolling a die $25$ times. Find the range of the data.

The following data gives the number of typing mistakes done by Radha during a week. Find the range of the data.

Find the range of the following data:

$575, 609, 335, 280, 729, 544, 852, 427, 967, 250$.

Find the range of the following data:

$19, 27, 15, 21, 33, 45, 7, 12, 20, 26$.