Tag: measures of dispersion

Questions Related to measures of dispersion

What will be the relative range, if the spread of items in a given distribution lies between $100$ and $180$kg?

  1. $0.5$

  2. $0.4$

  3. $0.3$

  4. $0.55$


Correct Option: C

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 _______.

  1. 100, 105, 94, 105, 95, 107

  2. 100, 105, 94, 105, 107, 95

  3. 100, 105, 94, 107, 95, 94

  4. 100, 105, 94, 95, 104, 107


Correct Option: D

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 $5$?

  1. $15$

  2. $20$

  3. $10$

  4. None of the above


Correct Option: A

The mean of $100$ observations is $18.4$ and sum of sqares of deviations from mean is $1444$, the Co-efficient of variation is ______.

  1. $30.6$

  2. $35.6$

  3. $20.6$

  4. $10.6$


Correct Option: C

The first quartile of the following observations is
$10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$.

  1. $17.55$

  2. $18$

  3. $15$

  4. $20$


Correct Option: C

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





  1. $16$

  2. $17$

  3. $18$

  4. None of them


Correct Option: B

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



  1. $6$

  2. $5$

  3. $8$

  4. $9$


Correct Option: A

The mean of $25$ observations is $73.408$. If one observation $64$ is removed, the revised mean is ______.

  1. $72.8$

  2. $73.8$

  3. $80.8$

  4. $76.8$


Correct Option: B