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Statistics Practice Questions

Class 10 · Mathematics · 2096 free MCQs with instant results and detailed explanations.

2096
Total
752
Easy
1004
Medium
340
Hard

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Topics in Statistics

Ogive 691
Mode 703
Mean 234
Median 468

Sample Questions from Statistics

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

Q1
Easy
What will happen to the mean if all values in a data set are increased by 2?
A. It remains the same
B. It increases by 2
C. It decreases by 2
D. It doubles
Show Answer & Explanation
Correct Answer: B
Increasing all values by a constant adds that constant to the mean as well.
Q2
Easy
Which of the following is NOT a method to find the mean of a data set?
A. Direct method
B. Assumed mean method
C. Group mean method
D. Estimated mean method
Show Answer & Explanation
Correct Answer: D
The 'Estimated mean method' is not typically recognized as a standard method to calculate mean.
Q3
Easy
A teacher recorded the ages of 5 students as 12, 13, 14, 15, and 16. What is the mean age?
A. 13
B. 14
C. 15
D. 16
Show Answer & Explanation
Correct Answer: B
Mean age = (12 + 13 + 14 + 15 + 16) / 5 = 70 / 5 = 14.
Q4
Medium
The mean of the following data set: 5, 8, 10, 12, 15 is:
A. 10
B. 12
C. 9
D. 11
Show Answer & Explanation
Correct Answer: A
To find the mean, add all the numbers and divide by the count. (5+8+10+12+15) = 50, and there are 5 numbers. Mean = 50/5 = 10.
Q5
Medium
If the mean of a data set is 30, and there are 10 values, what is the total of all values?
A. 300
B. 350
C. 250
D. 400
Show Answer & Explanation
Correct Answer: A
Total = Mean * Number of Values = 30 * 10 = 300.
Q6
Medium
A basketball team scored: 90, 85, 100, 95 and 80 points in five games. What is the mean score?
A. 88
B. 90
C. 91
D. 92
Show Answer & Explanation
Correct Answer: B
Total points = 90 + 85 + 100 + 95 + 80 = 450. Mean score = 450 / 5 = 90.
Q7
Medium
The mean of a set of scores is 50. If one score of 60 is added, how does it affect the mean?
A. Increases
B. Decreases
C. Remains the same
D. Cannot be determined
Show Answer & Explanation
Correct Answer: A
Adding a higher score increases the total sum, which increases the mean.
Q8
Hard
If the mean of a frequency distribution is 20 and the total frequency is 100, what is the total sum of the data points?
A. 2000
B. 2500
C. 1500
D. 1800
Show Answer & Explanation
Correct Answer: A
The total sum can be calculated as mean * total frequency = 20 * 100 = 2000.
Q9
Hard
If the mean of a dataset is 20 and there are 15 data points, what is the total sum of the data points?
A. 300
B. 320
C. 340
D. 360
Show Answer & Explanation
Correct Answer: A
Total sum can be calculated by multiplying the mean by the number of data points: 20 * 15 = 300.
Q10
Hard
A data set has a mean of 12 and consists of 7 numbers. If one number is increased by 5, what is the effect on the mean?
A. 12.5
B. 13
C. 12.2
D. 12
Show Answer & Explanation
Correct Answer: B
Increasing one number increases the sum, thus raising the mean slightly.

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Statistics — Class 10 Mathematics Practice Questions Online

This page contains 2096 practice MCQs for the chapter Statistics in Class 10 Mathematics. The questions are organized by difficulty — 752 easy, 1004 medium, 340 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 4 topics, giving you comprehensive coverage of the entire chapter.