# NCERT Solutions for Class 9 Maths Chapter 14 Statistics

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NCERT Solutions for Class 9 Maths Chapter 14 Statistics: We used to see information like the temperature of cities, cricket batsman or bowler ranking, results of particular exams etc either in news, tv, online sites or magazines. These numbers or facts collected for a purpose are called data. From these collected data we can understand certain results. For example, if we have data of temperature of 40 cities for a particular day we can infer that which city has a heigher temperature, which city has lower temperature, what is the average temperature of 40 cities, which value of temperature is most repeated, what is the middle value of temperature if we arranged the temperature in either increasing or decreasing order etc. So we are arranging the collected data and we analyse it and infer certain things from data. In these NCERT Solutions for Class 9 Maths Chapter 14, we deal with such arrangement od data and analysing it and interpreting certain results. Statistics deals with collection, organisation, analysis and interpretation of data.

Chapter Statistics of NCERT Solutions for Class 9 Maths Starts with the concepts of different kinds of data through an activity. Then the chapter talks about how to present data, how to represent data and measures of central tendency. The topic measures of central tendency of NCERT Solutions for Class 9 includes the concepts of Mean, Median and Mode.

The main Topic list of NCERT Solutions for Class 9 Maths Chapter 14 Statistics are given below:

14.1 Introduction

14.2 Collection of Data

14.3 Presentation of Data

14.4 Graphical Representation of Data

14.5 Measures of Central Tendency

Let's see an example for Measures of Central Tendency

Example: The score of twenty students in a class test of maximum mark 10 is given below

2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 10, 10

The marks given are in increasing order.

$\\The \ \ mean \ of \ the \ observations=\frac{sum\ of\ all\ the \ observations}{total \ number\ of \ observations}\\$

$=\frac{125}{20}=6.25$

The mode is the value which occurs most frequently. Here 9 occurs 4 times. So the mode is 9

The median is the middlemost value. If the number of observations is odd then the median is $\frac{n+1}{2}th \ term$ and if the number of observations is even then the median is the mean of $(\frac{n}{2}+1)th \ term$ and $n \ th$ observations. Here there are 20 observations. So the median is the mean of

$(\frac{20}{2}+1)th \ and \ \frac{20}{2}th \ observations$ .

That is the mean of 11th and 10 th observations

$=\frac{6+6}{2}=6$

NCERT Solutions are very important for better understanding of the concepts that we have studied and for exams also.

## NCERT Solutions for Class 9 Maths - Chapter Wise

 Chapter No. Chapter Name Chapter 1 Number Systems Chapter 2 Polynomials Chapter 3 Coordinate Geometry Chapter 4 Linear Equations In Two Variables Chapter 5 Introduction to Euclid's Geometry Chapter 6 Lines And Angles Chapter 7 Triangles Chapter 8 Quadrilaterals Chapter 9 Areas of Parallelograms and Triangles Chapter 10 Circles Chapter 11 Constructions Chapter 12 Heron’s Formula Chapter 13 Surface Area and Volumes Chapter 15 Probability

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