Mathematics · JEE

Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data Concepts for JEE

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Master Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data is a core JEE Main Mathematics subtopic under Statistics and Probability. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data in the JEE syllabus
  • Memorise key formulas and standard results linked to Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data and reattempt after 48 hours

Common trap

Students often rush Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Free sample questions

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Q1MathsUnit 13: Statistics and Probability
Which one of the following statements is not correct with reference to a histogram?
Q2MathsUnit 13: Statistics and Probability
Study the following bar chart and answer the questions based on it. The histogram below shows the marks of 50 students in an examination. Examine the diagram and answer the questions. If the minimum marks for passing is 40 then what percentage of students have failed in the examination?
Q3MathsUnit 13: Statistics and Probability
The largest of 50 measurements is 3.84 kg. If the range is 0.46kg0.46 \mathrm{kg}, find the smallest measurement.
Q4MathsUnit 13: Statistics and Probability
What is the percentage change in the overall sales turnover of the five companies together between 2001 2002 and 2002 - 2003?
Q5MathsUnit 13: Statistics and Probability
The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10 The upper class limit of the highest class is
Q6MathsUnit 13: Statistics and Probability
If the mode of a distribution is 18 and the mean is 24 , then median is
Q7MathsUnit 13: Statistics and Probability
The arithmetic mean of 5,6,8,9,12,13 17 is
Q8MathsUnit 13: Statistics and Probability
Consider the following statements in respect of histogram: 1. Histogram is an equivalent graphical representation of the frequency distribution. 2. Histogram is suitable for continuous random variables, where the total frequency of an interval is evenly distributed over the interval. Which of the statements given above is/are correct?

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Frequently asked questions

What concepts in Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data are essential for JEE?

Focus on core ideas across Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data. JEE tests application, not just memorisation.