Statistics Practice Questions

JEE · Mathematics · 1812 free MCQs with instant results and detailed explanations.

1812

Total

449

Easy

748

Medium

615

Hard

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Topics in Statistics

Grouped and Ungrouped Data 580

Variance and Standard Deviation 566

Mean Median Mode 666

Sample Questions from Statistics

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Easy

In a given dataset {4, 8, 6, 5, 3}, what is the mode of the dataset?

A. 4

B. 5

C. 6

D. None of the above

Show Answer & Explanation

Correct Answer: D

The mode is the number that appears most frequently in a dataset. In this case, all numbers appear exactly once, so there is no mode.

Easy

What is the mean of the data set: 2, 4, 6, 8?

A. 5

B. 6

C. 4

D. 7

Show Answer & Explanation

Correct Answer: A

The mean is calculated by summing all values and dividing by the number of values. (2 + 4 + 6 + 8) / 4 = 5.

Easy

In a data set, if the mode is 7, what does that indicate?

A. 7 is the highest value

B. 7 appears most frequently

C. 7 is the average

D. 7 is the smallest value

Show Answer & Explanation

Correct Answer: B

The mode is defined as the value that appears most frequently in a data set.

Medium

The mode of the following data set: 4, 4, 7, 9, 10, 10, 10, 12 is:

A. 4

B. 7

C. 10

D. 12

Show Answer & Explanation

Correct Answer: C

The mode is the number that appears most frequently in a data set. Here, 10 appears three times, more than any other number.

Medium

In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the corresponding frequencies are 5, 10, and 15 respectively, what is the mode?

A. 15-20

B. 10-20

C. 0-10

D. 20-30

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Correct Answer: B

The mode is the class interval with the highest frequency. Here, the highest frequency is 15 for the interval 20-30.

Medium

A data set has a mean of 50 and a median of 45. If one more value is added to this set, which of the following statements is true?

A. The mean will always increase.

B. The median will always increase.

C. Both mean and median will increase.

D. The median may not change.

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Correct Answer: D

Adding a value may or may not affect the median depending on its value. If it's lower than 45, the median remains 45.

Medium

A student scored the following marks in 5 subjects: 60, 70, 80, 90, 100. What is the mode of these scores?

A. 70

B. 80

C. 90

D. No mode

Show Answer & Explanation

Correct Answer: D

No number appears more than once, so there is no mode in this data set.

Hard

In a dataset of 10 numbers, if the mean is 20 and the median is 18, which of the following statements is necessarily true?

A. The mode is greater than 20.

B. The numbers are evenly distributed.

C. At least one number is less than 18.

D. The range is less than 10.

Show Answer & Explanation

Correct Answer: C

Since the median (18) is less than the mean (20), there must be numbers below the median, confirming that at least one number is less than 18.

Hard

Consider the data set: 5, 7, 9, 11, 13, 15, 17. If we add a new number 19 to this set, how will the mean change?

A. It will decrease.

B. It will remain the same.

C. It will increase.

D. It cannot be determined.

Show Answer & Explanation

Correct Answer: C

Adding a number greater than the current mean will increase the mean.

Q10

Hard

If the mean of a set of numbers is 50, and 5 is added to each number, what is the new mean of the set?

A. 50

B. 55

C. 45

D. Cannot be determined

Show Answer & Explanation

Correct Answer: B

Adding a constant to each number increases the mean by that constant.

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Statistics — JEE Mathematics Practice Questions Online

This page contains 1812 practice MCQs for the chapter Statistics in JEE Mathematics. The questions are organized by difficulty — 449 easy, 748 medium, 615 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.