Absolute Measures

IMPORTANT

Absolute Measures: Overview

This Topic covers sub-topics such as Mean Deviation, Quartile Deviation, Variance and Standard Deviation, Inter Quartile Range, Coefficient of Range, Properties of Standard Deviation, Combined Standard Deviation and, Properties of Variance

Important Questions on Absolute Measures

EASY
IMPORTANT

Distinguish between absolute and relative measures of dispersion.

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State the limitations of absolute measures of dispersion.

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Absolute measures of dispersion are not suitable for comparing the variability of two data sets with different units.

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Absolute Measure of Dispersion is one with units; it has the same unit as the initial dataset.

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Define the Absolute Measure of Dispersion.

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The Measure of dispersion is easily classified by checking whether they contain units or not.

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The Measure of Dispersion is divided into two main categories absolute measures and relative measures.

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Explain the types of measure measures of dispersion.

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A good measure of dispersion should be based on all the observations of the series.

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A good measure of dispersion should be capable of further mathematical treatment and statistical analysis.

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A good measure of dispersion should not be unduly affected by sampling fluctuations.

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What are the characteristics of a good measure of dispersion?

MEDIUM
IMPORTANT

The following are some particulars of the distribution of weight of boys and girls in a class:

  Boys Girls
Numbers 100 150
Mean weight 50kg 60kg
variance 25 36

Find the standard deviation of the combined data.

MEDIUM
IMPORTANT

The following are some particulars of the distribution of weight of boys and girls in a class:

  Boys Girls
Numbers 100 50
Mean weight 60kg 45kg
variance 9 4

Find the standard deviation of the combined data.

EASY
IMPORTANT

Calculate coefficient of mean deviation about mean for the following data:

7,9,12,15,5,4,11

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IMPORTANT

Calculate coefficient of mean deviation about mean for the following data:

7,4,10,9,15,12,7,9,9,18

MEDIUM
IMPORTANT

What are the merits and demerits of quartile deviation? Calculate coefficient of quartile deviation if Q1=16,Q3=24.

MEDIUM
IMPORTANT

What are the merits and demerits of quartile deviation? Calculate coefficient of quartile deviation if Q1=15,Q3=20.

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What are the merits and demerits of quartile deviation? Calculate coefficient of quartile deviation if Q1=40,Q3=60.

MEDIUM
IMPORTANT

What are the merits and demerits of quartile deviation? Calculate coefficient of quartile deviation if Q1=15,Q3=40.