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# NCERT Solutions for Class 10 Maths, Chapter 14 - Statistics

Earlier in Class 9, you studied about the classification of given data into ungrouped and group frequency distributions. Besides, he pictorial representation of data using different types of graphs such as histograms, frequency polygons and bar graphs were introduced to you in detail. Further, you also studied the calculation of mean, median and mode of the ungrouped data. In this chapter, you will study the mean, median and mode of grouped data. Additionally, you will also learn about the concept of cumulative frequency, cumulative frequency distribution, and drawing cumulative frequency curves called Ogives.

Let us take a look at the topics and sub-topics of Chapter 14 Class 10 Maths

14.1 Introduction

14.2 Mean of grouped data

14.3 Mode of grouped data

14.4 Median of grouped data

14.5 Graphical representation of cumulative frequency distribution

14.6 Summary

In Statistics Class 10 NCERT Solutions, we study -

1. The mean for the grouped data can be found by 3 methods -
• The direct method
• The assumed mean method
• The step derivation method with the assumption that the frequency of a class is centred at its midpoint called, class mark.
2. The median and mode can be found out by using their respective formulae.
3. The cumulative frequency of a class is the frequency obtained by adding the frequencies of all the classes preceding the given class.
4. Representing a cumulative frequency distribution graphically, as a cumulative frequency curve, or an Ogive of the less than type and of the more than type.
5. The median of grouped data can be obtained graphically as the x-coordinate of the point of intersection of the two Ogives for the data.

For a better understanding of statistics, explore the  Class 10 Maths Chapter 14 Solutions.

Download UrbanPro’s NCERT Solutions for Class 10 Maths Chapter 14 PDF for more details.

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