CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37

Multiple Choice Questions (MCQs) for Class 8 Mathematics: Statistics and Probability

Review structured MCQ sets for Class 8 Mathematics Statistics and Probability. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Practice Statistics and Probability MCQs for Class 8 Mathematics

Navigate directly to the 50 objective questions for Statistics and Probability using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: The mean of 40 observations was 160. On rechecking, the value 165 was wrongly copied as 125. The correct mean is
(a) 166
(b) 161
(c) 177
(d) 156
Show Answer & Explanation

Answer: (b) 161

Explanation:
1. Wrong total = 40 × 160 = 6400.
2. Correct total = 6400 − 125 + 165 = 6440.
3. Correct mean = 6440 / 40 = 161.

Teacher's Note:
1. The correction changes the total by 165 − 125 = 40.
2. 40 / 40 = 1 added to the mean.

Question 2: The mean of 10 numbers is 20. If 5 is subtracted from every number, the new mean is
(a) 10
(b) 9
(c) 3
(d) 15
Show Answer & Explanation

Answer: (d) 15

Explanation:
1. Subtracting a constant from every observation reduces the mean by the same constant: 20 − 5 = 15.

Teacher's Note:
1. Mean shifts by the same amount as the data.
2. Check with the total: 200 − 50 = 150, and 150 / 10 = 15.

Question 3: The mean of 5 numbers is 18. If one number is excluded, the mean of the remaining numbers is 16. The excluded number is
(a) 20
(b) 18
(c) 26
(d) 24
Show Answer & Explanation

Answer: (c) 26

Explanation:
1. Total of 5 = 90 and total of 4 = 64.
2. Excluded number = 90 − 64 = 26.

Teacher's Note:
1. Total = mean × count.
2. Difference of totals gives the excluded value.

Question 4: If the mean of the five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, the mean of the first three observations is
(a) 6
(b) 8
(c) 9
(d) 4
Show Answer & Explanation

Answer: (c) 9

Explanation:
1. Mean = x + 4 = 11, so x = 7.
2. First three: 7, 9, 11, with mean 27 / 3 = 9.

Teacher's Note:
1. The mean of an arithmetic progression is its middle term.
2. First three terms have mean x + 2.

Question 5: The mode of 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4 is
(a) 2
(b) 1
(c) 3
(d) 4
Show Answer & Explanation

Answer: (d) 4

Explanation:
1. Frequencies: 1 occurs 2, 2 occurs 3, 3 occurs 4 and 4 occurs 5 times.
2. Mode = 4.

Teacher's Note:
1. Mode has the highest frequency.
2. 4 appears five times.

Question 6: A number is chosen at random from the first 120 natural numbers. The probability that it is a multiple of 5 or 15 is
(a) \( \frac{1}{5} \)
(b) \( \frac{1}{9} \)
(c) \( \frac{1}{7} \)
(d) \( \frac{1}{6} \)
Show Answer & Explanation

Answer: (a) \( \frac{1}{5} \)

Explanation:
1. Every multiple of 15 is also a multiple of 5, so we count multiples of 5: 24.
2. Probability = 24 / 120 = 1/5.

Teacher's Note:
1. The 'or' with 15 adds nothing new.
2. 120 / 5 = 24.

Question 7: What is the probability of getting at least 6 heads if eight coins are tossed simultaneously?
(a) \( \frac{7}{128} \)
(b) \( \frac{37}{256} \)
(c) \( \frac{35}{256} \)
(d) \( \frac{1}{4} \)
Show Answer & Explanation

Answer: (b) \( \frac{37}{256} \)

Explanation:
1. Total outcomes = 2⁸ = 256.
2. Favourable: 6 heads = 28, 7 heads = 8, 8 heads = 1, total 37.
3. Probability = 37/256.

Teacher's Note:
1. Use combinations: C(8, 6) = 28, C(8, 7) = 8, C(8, 8) = 1.
2. Add the three cases.

Question 8: A boy scores the following marks (out of 20) in class tests: 16, 15, 10, 17, 7, 13, 16, 14, 16, 12, 19. Which of the following are true?
1. The mean is 16.09.
2. The mode is 16.
3. The median is 15.
4. The mean is 14.09.
(a) 1, 2 and 3 only
(b) 1 and 2 only
(c) 3 and 4 only
(d) 2, 3 and 4 only
Show Answer & Explanation

Answer: (d) 2, 3 and 4 only

Explanation:
1. Sum = 155 and n = 11, so mean = 14.09 (statement 1 false, 4 true).
2. Value 16 occurs three times, so mode = 16.
3. Ordered data: 7, 10, 12, 13, 14, 15, 16, 16, 16, 17, 19; the 6th value is 15, so the median is 15.

Teacher's Note:
1. Compute mean, mode and median separately.
2. The 6th of 11 values is the median.

Question 9: One card is drawn from a well-shuffled deck of 52 cards. The probability of drawing a king is
(a) \( \frac{1}{52} \)
(b) \( \frac{4}{13} \)
(c) \( \frac{1}{13} \)
(d) \( \frac{1}{4} \)
Show Answer & Explanation

Answer: (c) \( \frac{1}{13} \)

Explanation:
1. 4 kings in 52 cards: 4/52 = 1/13.

Teacher's Note:
1. Four kings, one in each suit.
2. Reduce 4/52.

Question 10: A die is thrown twice. The probability that 5 will come up at least once is
(a) \( \frac{11}{36} \)
(b) \( \frac{1}{6} \)
(c) \( \frac{25}{36} \)
(d) \( \frac{5}{36} \)
Show Answer & Explanation

Answer: (a) \( \frac{11}{36} \)

Explanation:
1. P(5 never comes up) = (5/6) × (5/6) = 25/36.
2. P(at least once) = 1 − 25/36 = 11/36.

Teacher's Note:
1. 'At least once' is easiest by the complement.
2. Two throws are independent.

Question 11: In a single throw of three dice, the probability of getting a total of 17 or 18 is
(a) \( \frac{1}{108} \)
(b) \( \frac{1}{27} \)
(c) \( \frac{1}{54} \)
(d) \( \frac{1}{36} \)
Show Answer & Explanation

Answer: (c) \( \frac{1}{54} \)

Explanation:
1. Total outcomes = 216.
2. Total 18: (6, 6, 6) is 1 way; total 17: (6, 6, 5) in 3 orders = 3 ways.
3. Probability = 4 / 216 = 1/54.

Teacher's Note:
1. Count ordered triples.
2. (6, 6, 5) can be arranged in 3 ways.

Question 12: Two numbers are chosen at random from 1 to 5. The probability that the two numbers are consecutive is
(a) \( \frac{1}{5} \)
(b) \( \frac{2}{5} \)
(c) \( \frac{4}{5} \)
(d) \( \frac{3}{5} \)
Show Answer & Explanation

Answer: (b) \( \frac{2}{5} \)

Explanation:
1. Number of pairs = C(5, 2) = 10.
2. Consecutive pairs: (1,2), (2,3), (3,4), (4,5), which is 4.
3. Probability = 4 / 10 = 2/5.

Teacher's Note:
1. Choose unordered pairs.
2. Four consecutive pairs among ten.

Question 13: Two dice are thrown at a time. The probability that the difference of the numbers shown is 1 is
(a) \( \frac{1}{6} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{5}{18} \)
(d) \( \frac{5}{36} \)
Show Answer & Explanation

Answer: (c) \( \frac{5}{18} \)

Explanation:
1. Pairs with difference 1: (1,2), (2,3), (3,4), (4,5), (5,6) and their reverses, so 10 pairs.
2. Probability = 10 / 36 = 5/18.

Teacher's Note:
1. Count ordered pairs, both orders.
2. Total outcomes = 36.

Question 14: A bag contains 3 white and 5 red balls. The probability that a ball drawn at random is red is
(a) \( \frac{5}{3} \)
(b) \( \frac{1}{2} \)
(c) \( \frac{5}{8} \)
(d) \( \frac{3}{8} \)
Show Answer & Explanation

Answer: (c) \( \frac{5}{8} \)

Explanation:
1. Total balls = 8 and red = 5, so P = 5/8.

Teacher's Note:
1. Probability = favourable / total.
2. Never exceeds 1.

Question 15: The probability that a randomly selected number from 1, 2, 3, ..., 15 is a prime number is
(a) \( \frac{2}{5} \)
(b) \( \frac{1}{5} \)
(c) \( \frac{7}{15} \)
(d) \( \frac{1}{3} \)
Show Answer & Explanation

Answer: (a) \( \frac{2}{5} \)

Explanation:
1. Primes up to 15: 2, 3, 5, 7, 11, 13, which are 6.
2. Probability = 6 / 15 = 2/5.

Teacher's Note:
1. 1 is not prime.
2. Reduce 6/15.

Question 16: In a single throw of two dice, the probability of getting a sum of 10 is
(a) \( \frac{5}{36} \)
(b) \( \frac{1}{9} \)
(c) \( \frac{1}{12} \)
(d) \( \frac{1}{6} \)
Show Answer & Explanation

Answer: (c) \( \frac{1}{12} \)

Explanation:
1. Pairs with sum 10: (4,6), (5,5), (6,4), which is 3 pairs.
2. Probability = 3 / 36 = 1/12.

Teacher's Note:
1. Count ordered pairs.
2. 3/36 reduces to 1/12.

Free study material for Mathematics

Multiple Choice Questions (MCQs) for Class 8 Mathematics Statistics and Probability

Chapter MCQs with Answers for Class 8 Mathematics

Test your conceptual understanding of Statistics and Probability with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 8 Mathematics, these problem sets build accuracy and prepare students for objective exams.

Expert Practice Material for Class 8 Mathematics

Built using the official NCERT book for Class 8, these Mathematics objective sets provide reliable academic guidance. Pair your practice with our recommended NCERT solutions to master optimal problem-solving approaches.

Complete Your Chapter Revision

Explore our broader library of printable assignments, chapter notes, and mock tests designed to support continuous revision and secure higher marks in CBSE assessments.

FAQs

Where can I access latest CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37?

You can get most exhaustive CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37 for free on StudiesToday.com. These MCQs for Class 8 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 8 material?

Yes, our CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Class 8 exams?

By solving our CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37, Class 8 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37?

Yes, Mathematics MCQs for Class 8 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

Can I practice these Mathematics Class 8 MCQs online?

Yes, you can also access online interactive tests for CBSE Class 8 Mathematics Statistics and Probability MCQs Set 37 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.