Statistics and Probability Practice Questions
HSC/SSC (Bangladesh) · HSC Mathematics · 139 free MCQs with instant results and detailed explanations.
139
Total
47
Easy
70
Medium
22
Hard
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Sample Questions from Statistics and Probability
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
If a die is rolled, what is the probability of getting a number greater than 4?
A.
1/3
B.
1/6
C.
1/2
D.
2/3
Show Answer & Explanation
Correct Answer: A
The numbers greater than 4 on a die are 5 and 6. There are 2 favorable outcomes out of a total of 6 possible outcomes. Therefore, the probability is 2/6 = 1/3.
Q2
Easy
Which of the following measures is used to describe the spread of data in a dataset?
A.
Mean
B.
Median
C.
Range
D.
Mode
Show Answer & Explanation
Correct Answer: C
Range is the measure that describes the spread of data by calculating the difference between the maximum and minimum values in the dataset.
Q3
Easy
What is the mean of the following data set: 4, 8, 6, 5, 3?
A.
5.2
B.
6
C.
5
D.
4.5
Show Answer & Explanation
Correct Answer: A
The mean is calculated by adding all the numbers and dividing by the count. (4 + 8 + 6 + 5 + 3) / 5 = 26 / 5 = 5.2.
Q4
Medium
What is the mean of the following data set: 4, 8, 6, 5, 3?
A.
5.2
B.
5.5
C.
6
D.
6.2
Show Answer & Explanation
Correct Answer: A
The mean is calculated by summing all the numbers and dividing by the total count. The sum is 4 + 8 + 6 + 5 + 3 = 26, and there are 5 numbers, so the mean is 26/5 = 5.2.
Q5
Medium
In a class of 50 students, 30 are girls. What is the probability of randomly selecting a girl?
A.
0.6
B.
0.5
C.
0.4
D.
0.3
Show Answer & Explanation
Correct Answer: A
Probability is calculated as the number of favorable outcomes divided by the total outcomes. Here, there are 30 girls out of 50 students, so the probability is 30/50 = 0.6.
Q6
Medium
A die is rolled once. What is the probability of rolling an even number?
A.
1/2
B.
1/3
C.
1/4
D.
1/6
Show Answer & Explanation
Correct Answer: A
The even numbers on a die are 2, 4, and 6, which make up 3 favorable outcomes. There are 6 total outcomes when rolling a die, so the probability is 3/6 = 1/2.
Q7
Medium
If the median of the data set 12, 15, 11, 14, and 18 is calculated, which value will be the median?
A.
14
B.
15
C.
12
D.
18
Show Answer & Explanation
Correct Answer: A
To find the median, the numbers must be arranged in ascending order: 11, 12, 14, 15, 18. The median is the middle value, which is 14 (the third number).
Q8
Hard
In a normal distribution, if the mean is 50 and the standard deviation is 5, what is the probability that a randomly selected score is between 45 and 55?
A.
0.6826
B.
0.8413
C.
0.9772
D.
0.9545
Show Answer & Explanation
Correct Answer: D
In a normal distribution, approximately 68.26% of the data lies within one standard deviation from the mean. Therefore, the probability that a score falls between 45 (mean - 1 SD) and 55 (mean + 1 SD) is approximately 0.9545.
Q9
Hard
A factory produces light bulbs, of which 10% are defective. If a quality control officer randomly selects 15 bulbs, what is the probability that exactly 2 bulbs are defective?
A.
0.2275
B.
0.1204
C.
0.2001
D.
0.2500
Show Answer & Explanation
Correct Answer: B
Using the binomial probability formula P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n=15, k=2, and p=0.10, we find that the probability of exactly 2 defective bulbs is approximately 0.1204.
Q10
Hard
A bag contains 5 red, 3 blue, and 2 green balls. If three balls are randomly drawn from the bag, what is the probability that all three balls are of the same color?
A.
0.26
B.
0.15
C.
0.10
D.
0.05
Show Answer & Explanation
Correct Answer: B
To find the probability of drawing three balls of the same color, we first calculate the total number of ways to choose any three balls from the ten balls. This is given by C(10, 3). Then we calculate the cases for drawing three balls of the same color: C(5, 3) for red, C(3, 3) for blue, and C(2, 3) for green (which is 0). The probability is the ratio of successful outcomes to total outcomes. The final probability is approximately 0.15.
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Statistics and Probability — HSC/SSC (Bangladesh) HSC Mathematics Practice Questions Online
This page contains 139 practice MCQs for the chapter Statistics and Probability in HSC/SSC (Bangladesh) HSC Mathematics. The questions are organized by difficulty — 47 easy, 70 medium, 22 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.