# NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.1

NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.1 (Ex. 5.1) Data Handling in Hindi and English Medium free to download in PDF or use online without downloading. All the solutions for class 8 Maths are now updated for academic session 2020-2021.

Students can take help from Exercise 5.1 videos solution which describes all the questions step by step. Class 8 Maths Offline apps in Hindi and English Medium are also available to free download.## Class 8 Maths Chapter 5 Exercise 5.1 Solution

Class: 8 | Mathematics |

Chapter: 5 | Data Handling |

Exercise: 5.1 | NCERT Book solutions |

### CBSE NCERT Class 8 Maths Chapter 5 Exercise 5.1 Solution in Hindi and English Medium

## Class 8 Maths Chapter 5 Exercise 5.1 Solution in Videos

#### Data

A collection of numerical facts regarding a particular type of information is called data. Each numerical fact of this type is known as an observation.

#### Raw data:

A collection of observations gathered initially is called raw data.

#### Range:

The difference between the highest and the lowest values of the observations in a data is called the range of the data.

##### Given below are the marks (out of 100) in mathematics obtained by 20 students of a class in an annual examination as 23, 75, 56, 42, 70, 84, 92, 51, 40, 63, 87, 58, 35, 80, 14, 63, 49, 72, 66, 61. Arrange the above data in ascending order and find: (i) the lowest marks obtained (ii) the highest marks obtained (iii) the range of the given data.

Arrange the above data in ascending order, we get:

14, 23, 35, 40, 42, 49, 51, 56, 58, 61, 63, 63, 66, 70, 72, 75, 80, 84, 87, 92.

Form the above data, we make the following observations.

(i) Lowest marks obtained = 14.

(ii) Highest marks obtained = 92.

(iii) Range of the given data = (92 – 14) = 78.

##### Given below are the heights (in cm) of 11 boys of a class: 146, 143, 148, 132, 128, 139, 140, 152, 154, 142, 149. Arrange the above data in ascending order and find. (i) the height of tallest boy (ii) the height of the shortest boy (iii) the range of the given data.

Arranging the given data in ascending order, we get the heights (in cm) as

128, 132, 139, 140, 142, 143, 146, 148, 149, 152, 154.

Form the above data, we get the following results.

(i) The height of the tallest boy = 154 cm

(ii) The height of the shortest boy = 128 cm

(iii) Range of the given data = (154 – 128) cm = 26 cm.

##### Statistics:

It is the science which deals with the collection, presentation, analysis and interpretation of numerical data.

##### What is data handling in simple words?

Data handling refers to the process of gathering, recording and presenting information in a way that is helpful to others – for instance, in graphs or charts. Data handling is also sometimes known as statistics and you will often come across it in the study of both Maths and Science.

##### What are the types of data handling?

Types of Data Handling are:

(i) Bar Graph.

(ii) Pictograph.

(iii) Line Graph.

(iv) Stem and Leaf Plots.

(v) Histogram.

(vi) Dot Plots.

(vii) Cumulative Tables and graphs.

(viii) Frequency Distribution

##### What does data handling include?

Data handling is the process of ensuring that research data is stored, archived or disposed-off in a safe and secure manner during and after the conclusion of a research project. This includes the development of policies and procedures to manage data handled electronically as well as through non-electronic means.