# NCERT Solutions for Class 10 Maths Chapter 14

NCERT Solutions for class 10 Maths Chapter 14 Statistics Exercise 14.1, Exercise 14.2, Exercise 14.3 and Exercise 14.4 English medium and Prashnavali 14.1, Prashnavali 14.2, Prashnavali 14.3 and Prashnavali 14.4 in Hindi Medium updated for new academic session 2020-2021. UP Board students also can download UP Board Solutions for class 10 Maths Chapter 14 all exercise. Solutions are available in Hindi and English Medium digital contents with videos related to all exercises. All the NCERT Textbook Solutions and NCERT Solutions Online Offline Apps 2020-21 are updated for academic session 2020-21.

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## NCERT Solutions for class 10 Maths Chapter 14

 Class: 10 Maths (English and Hindi Medium) Chapter 14: Statistics

### 10th Maths Chapter 14 Solutions

NCERT Solutions for class 10 Maths Chapter 14 Statistics all exercises in English and Hindi Medium are given below for 2020-21. Solutions can be viewed in Video Format or Hindi Medium Solutions format. Visit to Class 10 Maths Solutions to see the solutions of other chapters. Important questions and CBSE board exam questions, practice papers with answers and solutions are available to download as well as study online.

• ### 10th Maths Chapter 14 Exercise 14.4 Solutions

#### Class 10 Maths Chapter 14 Exercise 14.1 Solution in Video

Class 10 Maths Chapter 14 Exercise 14.1 Explanation
Class 10 Maths Chapter 14 Exercise 14.1 Solution

#### Class 10 Maths Chapter 14 Exercise 14.2 Solution in Video

Class 10 Maths Chapter 14 Exercise 14.2 Explanation
Class 10 Maths Chapter 14 Exercise 14.2 Solution

#### Class 10 Maths Chapter 14 Exercise 14.3 Solution in Video

Class 10 Maths Chapter 14 Exercise 14.3 Explanation
Class 10 Maths Chapter 14 Exercise 14.3 Solution

#### Class 10 Maths Chapter 14 Exercise 14.4 Solution in Video

Class 10 Maths Chapter 14 Exercise 14.4 Explanation
Class 10 Maths Chapter 14 Exercise 14.4 Solution

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.

##### About 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!
1. 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.
2. In 1812, Pierre de Laplace established many fundamental result in statistics.
3. 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.
4. According to H.G. Wells, statistical thinking will one day be as necessary for efficient citizenship, as the ability to read and write. ### Important Questions on Class 10 Maths Chapter 14

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.                                   