Tag: measures of dispersion and skewness

Questions Related to measures of dispersion and skewness

If a constant value $40$ is subtracted from each observation of a set, the mean of the set is __________.

  1. increased by $40$

  2. decreased by $40$

  3. is not affected

  4. zero


Correct Option: B

The second 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: B

If Md, Q, D and P Stands for median, quartile, decile and percentile respectively, then which of the following relation between them is true?

  1. $M _d = Q _2 = D _6 = P _50$

  2. $M _d = Q _3 = D _6 = P _75$

  3. $M _d = Q _5 = D _5 = P _50$

  4. $M _d = Q _2 = D _5 = P _50$


Correct Option: D

Which of the following relation is true between $3^{rd}$ decile and $30^{th}$ percentile?

  1. $D _7 = P _{70}$

  2. $D _7 = P _{30}$

  3. $D _3 = P _{30}$

  4. $D _3 = P _{70}$


Correct Option: C

Mode is that value in a frequency distribution which possesses __________.

  1. minimum frequency

  2. maximum frequency

  3. frequency one

  4. none of the above


Correct Option: B

In a discrete series having $(2n+1)$ observations, median is ______.

  1. nth observation

  2. $(n+1)$th observation

  3. $[(n+2)/2]th$ observation

  4. $[(2n+1)/2]th$ observation


Correct Option: B