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

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 CISCE 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

### 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 i**s 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 **Q**** _{1}** , 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

*Q*

_{1}and about 75% lie above

*Q*

_{1}.

The **second quartile** also called median and denoted by **Q _{2,}** has 50% of the items below it and 50% of the items above it.

The **third quartile,** denoted by **Q**** _{3}** , 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

*Q*

_{3}and about 25% lie above

*Q*

_{3}.

**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 3:

…………………..

…………………

…………………..

#### 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 3:

……………………

……………………

…………………….

#### 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 3:

………………….

………………….

………………….

………………….

#### 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.

………………..

#### Question 3:

………………….

………………….

…………………..

#### Question 9:

#### 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 :–

Return to :– OP Malhotra S Chand Solutions for ICSE Class-10 Maths

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