Tag: measures of dispersion and skewness
Questions Related to measures of dispersion and skewness
What will be the relative range, if the spread of items in a given distribution lies between $100$ and $180$kg?
An index is at 100 in 1991. It rises 5% in 1992, falls 6% in 1993,falls 5% in 1994, rises 4% in 1995 and 7% in 1996.The index numbers for all these years with 1991 as base are _______.
The standard deviation of $5$ items is found to be $15$. What will be the standard deviation if the values of all the items are increased by $5$?
The mean of $100$ observations is $18.4$ and sum of sqares of deviations from mean is $1444$, the Co-efficient of variation is ______.
The first quartile of the following observations is
$10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$.
The following distribution of ages (in complete years) is obtained for the students of higher secondary.
The mode of the distribution is.
| Age (in years) | 15 | 16 | 17 | 18 | 19 | 20 | 21 |
|---|---|---|---|---|---|---|---|
| Number of students | 12 | 18 | 20 | 10 | 7 | 6 | 2 |
The median for the following distribution is
| X | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
|---|---|---|---|---|---|---|---|---|---|---|
| Y | 3 | 6 | 9 | 18 | 20 | 14 | 10 | 10 | 7 | 2 |
The mean of $25$ observations is $73.408$. If one observation $64$ is removed, the revised mean is ______.
The correct relation between variance and standard deviation (S.D) of a variable X is _______.
For comparison of two different series, the best measure of dispersion is _________.