# NCERT Solutions for Class 9 Maths Chapter 14 – Statistics

NCERT Solutions for Class 9 Maths Chapter 14 Statistics** **will acquaint you with the theory and applications of statistics. In this chapter of NCERT Solutions for Class 9 Maths, you will get to revise all the data handling techniques that you studied in previous classes besides learning the various aspects of statistics. You will learn how to extract meaningful information from a collection of data with the help of these statistical techniques in your day to day life and various other subjects.

Chapter 14 Statistics includes 4 exercises containing a total of 26 questions of diverse topics. These questions range from an easy to advanced level of difficulty. The exercise questions and solutions are so relatable and interactive that you will get a feeling of more like playing a number game than solving statistics problems in maths. The exercise questions include graphs and tables, and the application of some formulae to find the mean, median and mode.

NCERT Solutions for Class 9 Maths Chapter 14 are provided at Instasolv to give you access to trouble-free opportunities for solving all your queries. Instasolv employs extensive research to make the best of the limited resources for giving you the simplest answers. The NCERT answers provided by Instasolv have often got good reviews by students and you can rely on these to boost your score exponentially in your school exams. The team of experts is professionally inclined to make the chapter effortless for you so that you can understand the need and application of statistics.

## Important Topics for NCERT Solutions For Class 9 Maths Chapter 14

**Introduction:**

The word Statistics is derived from the Latin word, ‘Status’ meaning ‘a (political) state. In the information-oriented world, we need to extract useful information out of different sets of data on a daily basis, for all kinds of subjects. The branch of mathematics that deals with the extraction of this useful information from data is known as Statistics.

**Collection of Data:**

- When the information is collected by the investigator themselves with a definite objective in their minds, the data obtained is called primary data.
- When the information is obtained from a source that already had the information stored, the data obtained is called secondary data. In this case, the reliability of the source of data should always be checked.

**Presentation of Data:**

- CBSE class 9 maths chapter 14 teaches you how to present data. The difference between the highest and lowest value is called the range of the data. However, sometimes it can be cumbersome to arrange the complete data in ascending or descending order, therefore we use an ungrouped frequency table or tally marks to arrange the data.
- In a grouped frequency distribution table, the groupings are called class intervals.and their size is called class-width or class-size. In each of these class intervals, the least number is known as the lower class limit and the greatest number is known as the upper-class limit.

**Graphical Representation of Data:**

**Bar Graph:**

A bar graph is a pictorial representation of data in which bars of uniform width are drawn with equal spacing between them with one axis depicting the variable. The values are shown on the other axis and the length of these bars denotes the values of the variable.

**Histogram:**

- This is a form of representation of grouped frequency data with class intervals, in a similar way as the bar graph, but it is used for continuous class intervals.
- Since the class interval might not begin from zero, we mark a kink or a break on the axis.
- There are no gaps between the bars in a histogram such that the final graph looks like a solid figure. This is known as a Histogram. The width of the bar plays an important role in histograms, unlike in bar graphs.

**Mean, Median, Mode:**

- Mean, for n observations.
- The measure of central tendency is called the median.
- The mode is the value that occurs most frequently in a set of data.

### Exercise-wise discussion of NCERT Solutions for Class 9 Maths Chapter 14

- The first exercise of NCERT Solutions for class 9 maths chapter 14 includes brief examples from daily life and has only two maths problems of beginners level which you will enjoy doing.
- The second exercise is a meditation on the organization of data using grouped and ungrouped frequency tables. You will be able to understand the concepts of class intervals with the help of these solutions.
- You will be able to draw the various graphs in the third exercise and understand the difference between the three techniques and their applications.
- In fourth exercise questions, you will get through a rigorous practice of concepts and will understand the practical utility of mean, median and mode.

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