Mathematics · JEE

Important Questions: Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data for JEE

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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

0.46 \mathrm{kg}

, find the smallest measurement.

Q4MathsUnit 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

Q5MathsUnit 13: Statistics and Probability

The arithmetic mean of 5,6,8,9,12,13 17 is

Q6MathsUnit 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?

Q7MathsUnit 13: Statistics and Probability

Which of the following is not changed for the observations

\mathbf{3 1}, \mathbf{4 8}, \mathbf{5 0}, \mathbf{6 0}, \mathbf{2 5}, \mathbf{8}, \mathbf{3 x}, \mathbf{2 6}, \mathbf{3 2} ?

(where

\boldsymbol{x}

lies between

10 \text { and } 15)

Q8MathsUnit 13: Statistics and Probability

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components: Lifetimes

0-

\begin{array}{lll}\text { 20- } & \text { 40- } & \text { 60- }\end{array}

\text { in } \quad 20 \quad 40 \quad 60

hours) Frequency 10

35

52 Determine the modal lifetimes of the components.

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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. Prioritise these before moving to edge cases.

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