OP Malhotra Mean Median Mode Class-10 S.Chand ICSE Maths Solutions Ch-18. We Provide Step by Step Answer of Exe-18 (a, b, c, and d) . Visit official Website for detail information about ICSE Board Class-10.

## OP Malhotra Mean Median Mode Class-10 S.Chand ICSE Maths Ch-18

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Exercise-18(a)

Exercise-18(b)

Exercise-18(c)

Exercise-18(d)

Exercise-18

### OP Malhotra Mean Median Mode Class-10 S.Chand ICSE Maths Ch-18

A central tendency is a single figure that represents the whole mass of data.

Arithmetic mean or mean is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items.
When all items of a series are given equal importance than it is called simple arithmetic mean and when different items of a series are given different weights according with their relative importance is known weighted arithmetic mean.

Median is the middle value of the series when arranged in order of the magnitude.
When a series is divided into more than two parts, the dividing values are called Partition values.
Quartiles are the measures which divide the data into four equal parts, each portion contains equal number of observation,

There are three quartiles
If a statistical series is divided into four equal parts, the end value of each part is called a quartile and denoted by ‘Q’.

The lower half of a data set is the set of all values that are to the left of the median value when the data has been put into increasing order.

The upper half of a data set is the set of all values that are to the right of the median value when the data has been put into increasing order.

The first quartile, denoted by Q1 , is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1 .

The second quartile also called median and denoted by Q2, has 50% of the items below it and 50% of the items above it.

The third quartile, denoted by Q3 , is the median of the upper half of the data set. This means that about 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3 .

Deciles distribute the series into ten equal parts and generally expressed as D.

Percentiles divide the series into hundred equal parts and generally expressed as P.

Mode is the value which occurs most frequently in the series, that modal value has the highest frequency in the series.

Exercise-18(a)

### OP Malhotra Mean Median Mode Class-10 S.Chand ICSE Maths Ch-18

#### Question 1:

Find the number half way between 0.2 and 0.02.

#### Question 2:

Find the mean of the numbers :

………………..

…………………..

…………………

…………………..

#### Question 19:

Following tables gives the marks scored by students in an examinations.

…………………..

Exercise-18(b)

### OP Malhotra Arithmetic Mean, Median, Mode and Quartiles Class-10 S.Chand ICSE Maths Ch-18

#### Question 1:

Find the median of the following sets of data.

………………………….

#### Question 2:

The following tables gives the monthly incomes of 12 families in a town .

…………………. above income.

……………………

……………………

…………………….

#### Question 12:

The median of the following observation arranged in ascending order is 24 . Find x.

………………..

### Exercise-18(c)

Mean Median Mode Class-10 S.Chand ICSE Maths Ch-18

#### Question 1:

Find Q1 , Q2 for the following sets data :

(i)……………..

………………..

#### Question 2:

In a class of 10 students …………..  Roll No below

…………………

………………….

………………….

………………….

………………….

#### Question 5:

Find the median size of the shoes from figure given below :

………………..

also calculate the Quartiles.

### Exercise-18(d)

OP Malhotra Mean Median Mode Class-10 S.Chand ICSE Maths Ch-18

#### Question 1:

Find the mode of the following data :

(i)………………..

…………………..

#### Question 2:

Find the median and mode for the set of numbers.

………………..

………………….

………………….

…………………..

#### A box contain nails of different length, measured to ………… is as follow :

…………………

(i) State the upper …………..

(ii) State the class size.

(iii) State the model size.

(iv) Determine the class which contain the median of the distribution.

— : End of Arithmetic Mean, Median, Mode and Quartiles OP Malhotra S Chand Solutions :–