OP Malhotra Class-11 Measures of Central Tendency S.Chand ISC Maths Solution

OP Malhotra Class-11 Measures of Central Tendency S.Chand ISC Maths Solution Chapter-20. Step by step Solutions of OP Malhotra S.Chand ISC Class-11 Mathematics with Exe-20 (a), 20 (b), With Chapter Test. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.

OP Malhotra Class-11 Measures of Central Tendency S.Chand ISC Maths Solution

Class:	11th
Subject:	Mathematics
Chapter  :	Ch-20  Measures of Central Tendency of Section -A

Board	ISC
Writer	OP Malhotra
Publications	S.Chand Publications 2020-21

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–: Select Topics :-

Exe-20 (a)

Chapter Test

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OP Malhotra Class-11 Measures of Central Tendency S.Chand ISC Maths Solution

Meaning of Arithmetic Mean:

Arithmetic Mean is defined as “the sum of the values of all observations divided by the number of observations”. It is also known as ‘Mean’ or ‘Average’ by the common man. It is generally denoted by .

Types of Arithmetic Mean

1. Simple arithmetic mean
2. Weighted arithmetic mean

Objectives of Averages:

(1) To Present a Brief Picture of Data

• Averages summarises data into a single figure, which makes it easier to understand and remember.

(2) To Make Comparison Easier

• Averages are very helpful for making comparative studies as they reduce the bulky statistical data to a single figure.

(3) To Help in Decision-making

• Most of the decisions in research or planning are based on the average value of certain variables.

(4) To Help in Formulation of Policy

• It is very useful in policy formulation.
• For example: For the removal of poverty from India, government takes into consideration per capita income.

Merits and Demerits of Arithmetic Mean

(a) Following Are Some of the Merits of Arithmetic Mean:

(1) Easy to Compute

• Its calculation is very easy because it requires knowledge of only simple mathematics i.e. addition, multiplication and division of numbers.

(2) Simple to Understand

• It is also simple to understand the meaning of arithmetic mean i.e., the value per unit or cost per unit, etc.

(3) Based on All Items

• It takes into consideration all the values of data.
• It is considered to be more representative of the distribution.

(4) Rigidly Defined

• Its value is always definite because it is rigidly defined.

(5) Good Basis of Comparison

• It provides a sound basis of comparison of two or more group of data.

(6) Algebraic Treatment

• It is capable of further algebraic treatment. So, it is widely used in advance statistical analysis.

 Essentials of a Good Average:

(1) Easy to Understand

• It should be easy to understand so that a layman can use it.

(2) Easy to Compute

• It should be easy to compute.
• Its calculation should not involve mathematical complexities.

(3) Based on All Observations

• Average should be calculated by taking into consideration each and every item of the series.

(4) Rigidly Defined

• It should have a definite and fixed value irrespective of method of calculations.

(5) Capable of Further Algebraic Treatment

• It should be capable of further algebraic treatment so that it can be used advance analysis.

(6) Not Affected Much by Extreme Values

• The value of an average should not be affected much by extreme values.
• One or two very small or very large values, should not affect the value of the average significantly.

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Exe-20 (a)

OP Malhotra Class-11 Measures of Central Tendency S.Chand ISC Maths Solution

Page 20-12 to 20-14

Question 1:

Find the mean of :-

(i) The first 6 ……….

(ii)…………

…………………

Question 2:

Find the mean of the following sets of numbers :

(i)……….

(ii)………

Question 3:

……………………

………………………

………………………

Question 18:

The sum of ……………….. Find the value of  n and mean .

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Chapter Test

OP Malhotra Class-11 Measures of Central Tendency S.Chand ISC Maths Solution

Page 20-14 to 20-15

Question 1:

The weight of 50 apples ……………… deviation method :

…………………

Question 2:

Find the value of p if the ……………. is 7.5 :

……………….

Question 3:

The mean of the following ………………. f1 and f2

……………..

-: End of Measures of Central Tendency Solution :-

Return to :-  OP Malhotra S. Chand ISC Class-11 Maths Solutions

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