Statistics and Probability Practice Questions
Thanaweya Amma (Egypt) · Thanaweya Mathematics · 139 free MCQs with instant results and detailed explanations.
139
Total
46
Easy
71
Medium
22
Hard
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Sample Questions from Statistics and Probability
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Q1
Easy
What is the mean of the following data set: 4, 8, 6, 5, 3?
A.
5.2
B.
6
C.
4
D.
7
Show Answer & Explanation
Correct Answer: A
The mean is calculated by adding all the numbers together and dividing by the count of the numbers: (4 + 8 + 6 + 5 + 3) / 5 = 26 / 5 = 5.2
Q2
Easy
If a die is rolled, what is the probability of rolling a number greater than 4?
A.
1/3
B.
1/6
C.
1/2
D.
2/3
Show Answer & Explanation
Correct Answer: A
The favorable outcomes for rolling a number greater than 4 are 5 and 6, which is 2 outcomes. The total outcomes when rolling a die is 6. Thus, the probability is 2/6 which simplifies to 1/3.
Q3
Easy
In a survey, 60% of students prefer mathematics, and 40% prefer science. If 100 students were surveyed, how many prefer mathematics?
A.
60
B.
40
C.
70
D.
50
Show Answer & Explanation
Correct Answer: A
To find the number of students who prefer mathematics, calculate 60% of 100. This equals 60 students, as 60% of 100 is 60.
Q4
Medium
A survey of 100 students found that 70 like math, 50 like science, and 30 like both subjects. What is the probability that a student chosen at random likes either math or science?
A.
0.90
B.
0.80
C.
0.70
D.
0.60
Show Answer & Explanation
Correct Answer: A
Using the principle of inclusion-exclusion, the number who like either subject is 70 + 50 - 30 = 90. Therefore, the probability is 90 / 100 = 0.90.
Q5
Medium
What is the median of the following data set: {12, 15, 10, 13, 14}?
A.
12
B.
13
C.
14
D.
15
Show Answer & Explanation
Correct Answer: B
To find the median, first arrange the data in ascending order: {10, 12, 13, 14, 15}. The middle value is 13.
Q6
Medium
In a bag containing 5 red balls, 3 blue balls, and 2 green balls, what is the probability of drawing a blue ball?
A.
1/5
B.
3/10
C.
2/5
D.
3/5
Show Answer & Explanation
Correct Answer: B
The total number of balls is 5 + 3 + 2 = 10. The probability of drawing a blue ball is the number of blue balls (3) divided by the total number of balls (10), which is 3/10.
Q7
Medium
A dataset has values: {5, 7, 8, 9, 12}. What is the range of this dataset?
A.
7
B.
5
C.
4
D.
9
Show Answer & Explanation
Correct Answer: A
The range is the difference between the maximum and minimum values. Here, max is 12 and min is 5, so range = 12 - 5 = 7.
Q8
Hard
In a certain data set, the mean is 50 and the standard deviation is 10. What is the z-score for a value of 70 in this data set?
A.
2.0
B.
1.5
C.
3.0
D.
1.0
Show Answer & Explanation
Correct Answer: A
The z-score is calculated using the formula: z = (X - ฮผ) / ฯ. Here, X is 70, ฮผ is the mean (50), and ฯ is the standard deviation (10). Thus, z = (70 - 50) / 10 = 2.0, indicating that 70 is 2 standard deviations above the mean.
Q9
Hard
A dataset consists of the following values: 5, 7, 3, 9, 11, 5, 5. What is the mode of this dataset?
A.
5
B.
7
C.
11
D.
9
Show Answer & Explanation
Correct Answer: A
The mode is the value that appears most frequently in a dataset. Here, the number 5 appears three times, while all other numbers appear less frequently, making 5 the mode.
Q10
Hard
If the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, assuming A and B are independent events, what is the probability that both A and B occur?
A.
0.12
B.
0.7
C.
0.1
D.
0.18
Show Answer & Explanation
Correct Answer: A
For independent events, the probability of both events occurring is calculated by multiplying their probabilities. Thus, P(A and B) = P(A) ร P(B) = 0.3 ร 0.4 = 0.12.
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Statistics and Probability โ Thanaweya Amma (Egypt) Thanaweya Mathematics Practice Questions Online
This page contains 139 practice MCQs for the chapter Statistics and Probability in Thanaweya Amma (Egypt) Thanaweya Mathematics. The questions are organized by difficulty โ 46 easy, 71 medium, 22 hard โ 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.