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Mathematics · JEE

Statistics and Probability Concepts for JEE

105+ syllabus-aligned questions available

Quick answer

Master Statistics and Probability by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Statistics and Probability before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Statistics and Probability covering 4 JEE syllabus subtopics including Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data, Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data, Probability: Probability of an event, addition and multiplication theorems of probability.

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
  • Understand the definition and scope of Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data in the JEE syllabus
  • Memorise key formulas and standard results linked to Calculation of standard deviation, variance and mean deviation for 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
  • Revise Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Calculation of standard deviation, variance and mean deviation for 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.

JEE Formula Sheet

62+ important formulas for Statistics and Probability

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Subtopics in Statistics and Probability

View Statistics and Probability formula sheet — 62+ JEE formulas

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
In an experiment with 15 observations on x,x, then following results were available: ∑x2=2830,∑x=170\sum x^{2}=2830, \sum x=170 One observation that was 20 was found to be wrong and was replaced by the correct value 30.30 . Then the corrected variance is:
Q3MathsUnit 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?
Q4MathsUnit 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.
Q5MathsUnit 13: Statistics and Probability
The probability of an even happens in one trial of an experiment is 0.3.0.3 . Three independent trials of the experiments are performed. Find the probability that the event A happens at least once.
Q6MathsUnit 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?
Q7MathsUnit 13: Statistics and Probability
If AA and BB are independent events such that 0<P(A)<1,0<P(B)<1,\mathbf{0}<\boldsymbol{P}(\boldsymbol{A})<\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})<\mathbf{1}, then This question has multiple correct options
Q8MathsUnit 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

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What concepts in Statistics and Probability are essential for JEE?

Focus on core ideas across Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data, Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data, Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variable. JEE tests application, not just memorisation.

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