CBSE 11 Statistics for Economics | 5. Measures of Central Tendency by Pavan | Learn Smarter
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics

Grades

Grade 8 Grade 9 Grade 10 Grade 11 Grade 12

Curriculum

CBSE ICSE IB
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games
Typing
Memory
Math
English Adventures
Knowledge
5. Measures of Central Tendency

The chapter focuses on measures of central tendency, which summarize a set of data into a single representative value. It covers the definitions and calculations for the arithmetic mean, median, and mode, along with different methods for calculating these measures. Through examples and exercises, the chapter emphasizes the importance of selecting the most suitable average based on the nature of the data.

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take mock test.

Sections

  • 5

    Measures Of Central Tendency

    This section introduces the measures of central tendency, explaining their importance in summarizing large data sets into a single representative value.

    Learning Practice

  • 5.1

    Introduction

    This section introduces the measures of central tendency, explaining their importance in summarizing large data sets into a single representative value.

    Learning Practice

  • 5.2

    Arithmetic Mean

    The Arithmetic Mean is defined as the sum of all observations divided by the number of observations, commonly used to summarize data.

    Learning Practice

  • 5.2.1

    How Arithmetic Mean Is Calculated

    This section explains the calculation of the arithmetic mean, emphasizing its definition, calculation methods, and significance as a measure of central tendency.

    Learning Practice

  • 5.2.1.1

    Arithmetic Mean For Ungrouped Data

    This section covers the concept of arithmetic mean for ungrouped data, emphasizing its importance and methods of calculation.

    Learning Practice

  • 5.2.1.1.1

    Direct Method

    The Direct Method for calculating the arithmetic mean involves summing all observations and dividing by the total number of observations.

    Learning Practice

  • 5.2.1.1.2

    Assumed Mean Method

    The Assumed Mean Method simplifies the calculation of the arithmetic mean for large datasets by using a presumed average to make calculations easier.

    Learning Practice

  • 5.2.1.1.3

    Step Deviation Method

    The Step Deviation Method simplifies the calculation of the Arithmetic Mean by scaling deviations from an assumed mean to avoid dealing with large numbers.

    Learning Practice

  • 5.2.1.2

    Calculation Of Arithmetic Mean For Grouped Data

    This section discusses the calculation of arithmetic mean specifically for grouped data, highlighting methods such as the Direct Method and Assumed Mean Method.

    Learning Practice

  • 5.2.1.2.1

    Discrete Series

    This section covers the methods of calculating the arithmetic mean for discrete series using the direct method, assumed mean method, and step deviation method.

    Learning Practice

  • 5.2.1.2.1.1

    Direct Method

    The Direct Method allows for the calculation of the arithmetic mean of a discrete series by multiplying the frequency of observations with their respective values.

    Learning Practice

  • 5.2.1.2.1.2

    Assumed Mean Method

    The Assumed Mean Method simplifies calculations when determining the mean of a frequency distribution by using deviation weighted by frequency.

    Learning Practice

  • 5.2.1.2.1.3

    Step Deviation Method

    The STEP Deviation Method simplifies the computation of the arithmetic mean when working with large numerical figures by dividing deviations by a common factor.

    Learning Practice

  • 5.2.1.2.2

    Continuous Series

    This section introduces the concept of continuous series in statistics and explains how to calculate the arithmetic mean for grouped data.

    Learning Practice

  • 5.2.1.2.2.1

    Direct Method

    The Direct Method is a statistical approach for calculating average marks using class intervals.

    Learning Practice

  • 5.2.1.2.2.2

    Step Deviation Method

    The Step Deviation Method is a technique used to calculate d' with a common factor.

    Learning Practice

  • 5.2.1.3

    Two Interesting Properties Of A.m.

    This section highlights two key properties of the arithmetic mean (A.M.): the sum of deviations from the A.M. is zero, and the influence of extreme values.

    Learning Practice

  • 5.2.1.3.1

    Weighted Arithmetic Mean

    The weighted arithmetic mean allows for different importance to be assigned to values in a dataset, enhancing the representation of data that has varying significance.

    Learning Practice

  • 5.3

    Median

    The median is a measure of central tendency that indicates the middle value of a data set.

    Learning Practice

  • 5.3.1

    Computation Of Median

    This section focuses on the computation of median, explaining its significance as a measure of central tendency.

    Learning Practice

  • 5.3.2

    Discrete Series

    This section discusses how to find the median in a discrete series using cumulative frequency.

    Learning Practice

  • 5.3.3

    Continuous Series

    The section discusses how to determine the median in a continuous series by locating the median class and applying the appropriate formula.

    Learning Practice

  • 5.3.4

    Quartiles

    Quartiles are statistical measures that divide a data set into four equal parts. They include the first quartile (Q1), median (Q2), and third quartile (Q3).

    Learning Practice

  • 5.3.5

    Percentiles

    Percentiles divide a distribution into hundred equal parts, providing insights into relative standings among a set of values.

    Learning Practice

  • 5.4

    Mode

    This section introduces the concept of mode, a measure of central tendency representing the most frequently occurring value in a dataset.

    Learning Practice

  • 5.4.1

    Computation Of Mode

    This section covers the concept and computation of mode as a measure of central tendency, highlighting its importance and application in summarizing data.

    Learning Practice

  • 5.4.1.1

    Discrete Series

    This section introduces the concept of the mode in a discrete series, detailing its definition and classification into unimodal, bimodal, and multimodal data.

    Learning Practice

  • 5.4.1.2

    Continuous Series

    This section discusses the concept of mode in continuous frequency distributions and outlines the formula used to calculate the mode.

    Learning Practice

  • 5.5

    Relative Position Of Arithmetic Mean, Median And Mode

    This section discusses the relative positions of the arithmetic mean, median, and mode as measures of central tendency, elucidating when and how each can be used effectively.

    Learning Practice

  • 5.6

    Conclusion

    This section summarizes the significance of measures of central tendency in data representation and analysis.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • Measures of central tendenc...
  • Arithmetic mean is defined ...
  • Median is the positional va...

Final Test

Revision Tests