NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.2 Statistics

To prepare for Class 10 Maths Exercise 13.2, understand the importance of the mode as a measure of central tendency. The mode represents the value that occurs most frequently. For grouped data, you must find the modal class, which has the highest frequency. Learn the formula for mode: Mode = 𝑙 + (𝑓1 − 𝑓0)/(2𝑓1 − 𝑓0 − 𝑓2)×h, where 𝑙 is the lower limit of the modal class, 𝑓1 is the frequency of the modal class, 𝑓0 is the frequency of the class preceding the modal class, 𝑓2 is the frequency of the class succeeding the modal class, and ℎ is the class size.

Practice calculating the mode by solving examples that include constructing frequency tables and identifying the modal class. Make sure to understand the steps involved in applying the formula correctly. Compare the mode with the mean and median to see how they differ and what each one represents. This will help you grasp how central tendency measures can provide different insights about a dataset.

Questions in ex. 13.2 are based on Mode. Answers of all questions based on Mode are given in Hindi Medium as well as English Medium free to use for all students updated for academic session 2025-26 based on latest CBSE Curriculum. Videos related to exercise 13.2 of statistics are given in Hindi and English medium separately. Practice with PDF solutions and take help of videos to understand more confidently.

Statistics in Earlier Classes

The classification of the given data is studied in cluster and non-cluster frequency distributions. You have learned to represent data graphically in various charts, such as bar charts, histograms (including ones of different widths), and frequency polygons. Actually, he went a step further by checking some numerical representations of data, also called measures of central tendency, namely mean, mean, and mode. In this chapter, we will expand the study of these three measures, that is, the mean, mean, and mode of non-grouped data in grouped data. We will discuss cumulative frequency, the concept of cumulative frequency distribution, and cumulative frequency curves, also known as warheads.

Mode of Grouped Data

As we have studied in previous classes, one mode is the value between the observations that occur with the highest frequency, that is, the value of the observation that has the maximum frequency. In addition, we know how to find the mode of unstructured data. Here, we are going to discuss ways to achieve a pooled data mode. It is possible that more than one value has the same maximum frequency. In such situations, the data is called a multimodal. Although grouped data can also be multidimensional, limiting us to the problems of having only one mode.

Comparison between Mode and Mean

The mode may be less than the mean in one situation, but in some other problems, it may be equal to or greater than the mean. It depends on the situation demand if we are interested in finding the average marks obtained by the students or the average of the marks obtained by most students. The first condition requires the mean and the second condition requires the mode.

How to find a Mode of data?

In a grouped frequency distribution, it is not possible to determine the mode by observing frequencies. Here, we can only detect a square with maximum frequency, which is called a modal square. The mode is a value within the modal class and is given by the formula:
Mode = l + [(f1 – f0)/(2f1 – f0 – f2)] x h