Mathematics · JEE

Statistics and Probability Previous Year Questions for JEE

81+ syllabus-aligned questions available

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Goodmarks offers 80+ JEE-style PYQs for Statistics and Probability with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Statistics and Probability is tested in JEE. Practise 80+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

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

Why practise PYQs for Statistics and Probability?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Statistics and Probability, covering the same topics as previous year papers.

How should I use PYQs for Statistics and Probability?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.