# NCERT Solutions for Class 10 Maths Chapter 14

Free Download NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.1 or Exercise 14.2 or Exercise 14.3 or Exercise 14.4 in English Medium and प्रश्नावली 14.1 or प्रश्नावली 14.2 or प्रश्नावली 14.3 or प्रश्नावली 14.4 in Hindi Medium or View in Video Format for UP Board, Mp Board and CBSE Board in PDF. Download Apps based on NCERT Solutions free.

 Class 10: Maths – गणित Chapter 14: Statistics

## NCERT Solutions for class 10 Maths Chapter 14

Go Back to Class 10 Maths Main Page

### NCERT Solutions – Statistics – Class 10 Maths

Important questions and CBSE board exam questions, practice papers with answers and solutions are available to download as well as study online.

### 10 Maths Exercise 14.1 Solutions

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.1 in English is given below. See also the other exercises Exercise 14.2 or Exercise 14.3 or Exercise 14.4 or View in Video Format or Hindi Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 Maths Exercise 14.2 Solutions

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.2 in English is given below. See also the other exercises Exercise 14.1 or Exercise 14.3 or Exercise 14.4 or View in Video Format or Hindi Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 Maths Exercise 14.3 Solutions

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.3 in English is given below. See also the other exercises Exercise 14.1 or Exercise 14.2 or Exercise 14.4 or View in Video Format or Hindi Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 Maths Exercise 14.4 Solutions

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.4 in English is given below. See also the other exercises Exercise 14.1 or Exercise 14.2 or Exercise 14.3 or View in Video Format or Hindi Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 गणित के प्रश्नावली 14.1 के हल

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.1 in Hindi is given below. See also the other exercises प्रश्नावली 14.2 or प्रश्नावली 14.3 or प्रश्नावली 14.4 or View in Video Format or English Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 गणित के प्रश्नावली 14.2 के हल

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.2 in Hindi is given below. See also the other exercises प्रश्नावली 14.1 or प्रश्नावली 14.3 or प्रश्नावली 14.4 or View in Video Format or English Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 गणित के प्रश्नावली 14.3 के हल

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.3 in Hindi is given below. See also the other exercises प्रश्नावली 14.1 or प्रश्नावली 14.2 or प्रश्नावली 14.4 or View in Video Format or English Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

### 10 गणित के प्रश्नावली 14.4 के हल

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.4 in Hindi is given below. See also the other exercises प्रश्नावली 14.1 or प्रश्नावली 14.2 or प्रश्नावली 14.3 or View in Video Format or English Medium Solutions. Go back to Class 10 Maths main page or move to Top of the page.

Go to Class 10 Maths or Top of page

### 10 Maths Chapter 14 Exercise 14.1, 14.2, 14.3 & 14.4 Sols in Video

NCERT Solutions for class 10 Maths Exercise 14.1 in video format with complete description. Download Offline Apps for class 10 all subjects.

NCERT Solutions for class 10 Maths Exercise 14.2 in video format with complete description.

NCERT Solutions for class 10 Maths Exercise 14.3 in video format with complete description.

NCERT Solutions for class 10 Maths Exercise 14.4 in video format with complete description.

Go to Class 10 Maths or Top of page

The modern society is essentially data oriented. These data may relate to population, mortality rate and literacy rate, run rates of batsman in cricket, rainfall of different cities and countries, temperatures of different towns and expenditures in various organisations and so on. It is, therefore, essential to know to represent ‘meaningful’ information from such data. This extraction of useful or meaningful information is studied in the branch of mathematics called statistics.

#### Formulae related to Statistics

The mean for grouped data can be found by:

The mode for grouped data can be found by using the formula:

The median for grouped data is formed by using the formula:

There is an empirical relationship between the three measures of central tendency: 3 Median = 2 Mean + Mode.

#### About the chapter – Statistics Class 10 Maths

In the chapter Statistics, the students will be introduced to cumulative frequency tables, graphical representations of data in the form of bar charts (graphs), histograms and frequency polygons. Sometimes, we are required to describe the data arithmetically, like describing mean age of a class of students, mean height of a group of students, median score or model shoe size of a group. In lesson on statistics, students will be introduced to three measures of central tendency i.e., mean, median, mode of ungrouped data and mean of grouped data.

##### Historical Facts!
• Karl Pearson, British statistician, is a leading founder of modern field of statistics. He established the discipline of mathematical statistics. The term STANDARD DEVIATION was first used by Karl Pearson in 1894 as a replacement of term MEAN ERROR used by Carl Gauss.
• In 1812, Pierre de Laplace established many fundamental result in statistics.
• Sharadchandra Shankar Shrikhande (born on October 19, 1917) is an Indian mathematician with distinguished and well recognized achievements in combinatorial mathematics. He is notable for his breakthrough work along with R.C. Bose and E. T. Parker in their disproof of the famous conjecture made by Leonhard Euler dated 1782 that there do not exist two mutually orthogonal Latin squares of order 4n + 2 for every n. Shrikhande’s specialty was combinatorics and statistical designs. Shrikhande graph is used in statistical designs.
• According to H.G. Wells, statistical thinking will one day be as necessary for efficient citizenship, as the ability to read and write.

#### Why is the mid-point consider as the representing observation falling in the class?

It is assumed that the frequency of each classinterval is centred around its mid-point. So the mid-point (or class mark) of each class can be chosen to represent the observations falling in the class.

#### How do we choose a modal class?

A class with the maximum frequency, called the modal class.

#### How is the mean an important tool in getting information about a data?

The mean is the most frequently used measure of central tendency because it takes into account all the observations, and lies between the extremes, i.e., the largest and the smallest observations of the entire data. It also enables us to compare two or more distributions. For example, by comparing the average (mean) results of students of different schools of a particular examination, we can conclude which school has a better performance.

#### What is the empirical relationship between the three measures of central tendency?

The empirical relationship between the three measures of central tendency:

3 Median = Mode + 2 Mean

#### How can we find the median of a data graphically?

The median of grouped data can be obtained graphically as the x-coordinate of the point of intersection of the two ogives for this data.

#### What is cumulative frequency?

The cumulative frequency of a class is the frequency obtained by adding the frequencies of all the classes preceding the given class.

## 1 thought on “NCERT Solutions for Class 10 Maths Chapter 14”

1. ruchika says:

Thank You you are very helpful for us