Analysis of Frequency Distributions

IMPORTANT

Analysis of Frequency Distributions: Overview

This topic covers concepts, such as, Coefficient of Variation in Statistics etc.

Important Questions on Analysis of Frequency Distributions

HARD
IMPORTANT

From the following, find which series is more consistent:

Variables 10-20 20-30 30-40 40-50 50-60 60-70
Series A 10 16 30 40 26 18
Series B 22 18 32 34 18 16

EASY
IMPORTANT

Weekly average wages of workers in a factory increase from  80 to  120 and standard deviation increases from  10 to  30. Have the wages become less uniform now?

HARD
IMPORTANT

Find the coefficient of variation for the following data:

Size (in cm) 10-15 15-20 20-25 25-30 30-35 35-40
No. of items 2 8 20 35 20 15

(Write the answer upto two decimal places.)

HARD
IMPORTANT

Find the coefficient of variation for the following data:

Marks 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99
Number of students 5 12 15 20 18 10 6 4

(Write the answer upto two decimal places.)

HARD
IMPORTANT

Calculate the coefficient of variation from the following data:

Income  Number of families
1000-1700 12
1700-2400 18
2400-3100 20
3100-3800 25
3800-4500 35
4500-5200 10

(write the answer up to two decimal places.)

HARD
IMPORTANT

Find the coefficient of variation for the following data:

Size of item 10 11 12 13 14 15 16
Frequency 2 7 11 15 10 4 1

(Write your answer up to two decimal places.)

EASY
IMPORTANT

Coefficients of variation of two distributions are 60 and 70, and their standard deviations are 21 and 16 respectively. What are their arithmetic means?

EASY
IMPORTANT

The mean and standard deviation of heights and weights of 50 students of a class are as follows:

  Weights Heights
Mean 63.2 kg 160 cm
Standard deviation 5.6 kg 29.2 cm

Which shows more variability, heights or weights?

MEDIUM
IMPORTANT

Two plants A and B of a factory show the following results about the number of workers and the wages paid to them:

  A B
Number of workers 5000 6000
 Average monthly wages  2500  2500
Variance of distribution of wages  81 100

In which plant, A or B is there greater variability in individual wages?

EASY
IMPORTANT

If the variance of monthly wages paid to workers by two firms A and B are 100 and 81 respectively and if the firms have same average monthly wages, then which firms shows greater variability in individual wages?

EASY
IMPORTANT

If the coefficient of variation of a distribution is 75 and standard deviation is 27, then what is the arithmetic mean?

EASY
IMPORTANT

If the coefficients of variation of two distributions are 40 and 20 and their variances are 144 and 64 respectively, then the mean of their arithmetic means is

EASY
IMPORTANT

What is the formula for finding co-efficient of variation, given σ= standard deviation and x¯=mean 0?

MEDIUM
IMPORTANT

The temperature of two cities A and B in a winter season are given in the table.

The temperature of city A ( in degree celsius) 18 20 22 24 26
The temperature of city B ( in degree celsius) 11 14 15 17 18

Find which city is more consistent in temperature changes?

EASY
IMPORTANT

Coefficient of variation = SDMean×_____