Statistics Practice Questions

Class 11 · Mathematics · 1347 free MCQs with instant results and detailed explanations.

1347

Total

460

Easy

654

Medium

233

Hard

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Topics in Statistics

Variance 442

Mean Deviation 360

Standard Deviation 545

Sample Questions from Statistics

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

Easy

In a data set, if every number is increased by 3, how does the mean deviation change?

A. It increases by 3

B. It decreases by 3

C. It remains the same

D. It doubles

Show Answer & Explanation

Correct Answer: C

Mean deviation is unaffected by constant shifts in data. Only the distances of each point from the mean change but not the mean deviation itself.

Easy

Which of the following represents the formula for mean deviation?

A. Σ|x - μ| / N

B. Σ(x - μ)^2 / N

C. Σ|x - x̄| / N

D. Σ|x - κ| / N

Show Answer & Explanation

Correct Answer: A

The mean deviation formula is the sum of absolute deviations from the mean (μ) divided by the number of observations (N).

Easy

If the mean of a data set is 20 and the mean deviation is 5, what is the mean of the absolute deviations?

A. 5

B. 10

C. 20

D. 25

Show Answer & Explanation

Correct Answer: A

By definition, the mean deviation is the average of the absolute deviations from the mean, which is already given as 5.

Medium

What does the mean deviation from the mean indicate in a data set?

A. The average distance of data points from the mean

B. The total sum of all data points

C. The maximum value in the data set

D. The difference between the maximum and minimum values

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Correct Answer: A

Mean deviation measures how much the data points deviate from the average value (mean), providing insight into variability.

Medium

If the mean of a data set is 50 and the mean deviation is 10, what is the mean of the data points that are 10 units above the mean?

A. 60

B. 50

C. 40

D. 70

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Correct Answer: A

Data points that are all 10 units above the mean would average to 60, which is 50 + 10.

Medium

Which of the following statements about mean deviation is incorrect?

A. It can be calculated using the mean or median.

B. It is always less than or equal to the standard deviation.

C. It is affected by extreme values.

D. It is a measure of central tendency.

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Correct Answer: D

Mean deviation is a measure of dispersion, not central tendency, unlike mean or median.

Medium

In a data set of 10 values, if the mean deviation is zero, what does this imply?

A. All values are equal.

B. Values are randomly distributed.

C. Values include negative numbers.

D. Values are symmetrically distributed.

Show Answer & Explanation

Correct Answer: A

A mean deviation of zero indicates no variation among the data points; they are all equal.

Hard

If the deviation of a set of values from the mean is calculated as 3 and the mean of the set is 45, what are the new values if each value is increased by 5?

A. 50

B. 48

C. 45

D. 43

Show Answer & Explanation

Correct Answer: A

Increasing each value by a constant changes the mean but does not affect the mean deviation from the new mean.

Hard

In a data set with an average of 30, if the mean deviation is 8, what is the mean of the absolute deviations from the mean?

A. 8

B. 30

C. 38

D. 22

Show Answer & Explanation

Correct Answer: A

The mean deviation is the average of the absolute deviations from the mean, which is given as 8.

Q10

Hard

If the mean deviation of a data set is found to be 3.5, what does this say about the distribution of the data?

A. Data is tightly clustered around the mean

B. Data is widely spread out

C. Data has a normal distribution

D. Data is uniform

Show Answer & Explanation

Correct Answer: A

A mean deviation of 3.5 indicates that the data points are relatively close to the mean, thus tightly clustered.

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Statistics — Class 11 Mathematics Practice Questions Online

This page contains 1347 practice MCQs for the chapter Statistics in Class 11 Mathematics. The questions are organized by difficulty — 460 easy, 654 medium, 233 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.