Measures of Dispersion

IMPORTANT

Measures of Dispersion: Overview

This topic consists of various concepts like Measure of Dispersion,Range as Measure of Dispersion,Merits and Demerits of Range As Measure of Dispersion, etc.

Important Questions on Measures of Dispersion

MEDIUM
IMPORTANT

Calculate mean, median and mode of the following data.

x 225 226 227 228 229 230 235 236 239 240
f 5 8 15 12 10 6 4 5 6 7

MEDIUM
IMPORTANT

From the following data, calculate range and coefficient of range:

Marks 10-19 20-29 30-39 40-49 50-59 60-69
No. of students 6 10 16 14 8 4

 

MEDIUM
IMPORTANT

Age is one of the factors of consideration for prostate cancer patients in deciding on treatment strategy. The following shows the ages of prostate cancer patients at a certain hospital.

60 52 67 56 61 64 58 65 57 50
42 52 50 56 56 62 64 69 55 47

Determine the first and third quartiles.

EASY
IMPORTANT

If every observation is increased by 7 then

EASY
IMPORTANT

If every observation is increased by 5 then:

MEDIUM
IMPORTANT

Write two-two Merits and Demerits of range as measure of dispersion.

EASY
IMPORTANT

Write all the merits of range as measure of dispersion.

EASY
IMPORTANT

Write all the demerits of range as measure of dispersion.

EASY
IMPORTANT

The probability distribution of a random variable is as follows:

x:12468P:k2k3k3kk

The variance of x is

EASY
IMPORTANT

Quartile deviation is called

EASY
IMPORTANT

As the sample size increases, range also tends to

EASY
IMPORTANT

As the sample size increases, range also tends to increase though not proportionately.

EASY
IMPORTANT

As the sample size increases, _____ also tends to increase.

EASY
IMPORTANT

_____ is extremely sensitive to the size of the sample

EASY
IMPORTANT

The relation Absolute range = Relative range/Sum of the two extremes is

EASY
IMPORTANT

The relation Relative range = Absolute range / Sum of the two extremes. is

EASY
IMPORTANT

The degree of variation is designated as _____ measure of dispersion.

EASY
IMPORTANT

The amount of variation is designated as _____ measure of dispersion.

EASY
IMPORTANT

In measuring dispersion, it is necessary to know the amount of _____ & the degree of _____ .

EASY
IMPORTANT

Measures of dispersion are called averages of the ____ order.