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Mathematics · JEE

Important Questions: Statistics and Probability for JEE

81+ syllabus-aligned questions available

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The most important Statistics and Probability questions for JEE cover conceptual traps, standard results, and numerical patterns from 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. Goodmarks provides 80+ high-yield MCQs with full solutions.

Focus on what matters most. These important Statistics and Probability questions cover high-weightage concepts from 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 — the topics JEE repeats every year.

Subtopics in Statistics and Probability

  • 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

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
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
Q7MathsUnit 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
Q8MathsUnit 13: Statistics and Probability
The arithmetic mean of 5,6,8,9,12,13 17 is

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Frequently asked questions

What makes a Statistics and Probability question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Statistics and Probability are high-weightage?

Key areas include 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. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.

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