Statistics and Probability Practice Questions
K-12 (Philippines) · K-12 Mathematics · 138 free MCQs with instant results and detailed explanations.
138
Total
44
Easy
74
Medium
20
Hard
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Sample Questions from Statistics and Probability
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Q1
Easy
What is the mean of the following set of numbers: 4, 8, 6, 5, 3?
A.
5.2
B.
6
C.
5.5
D.
4.8
Show Answer & Explanation
Correct Answer: B
To find the mean, sum all the numbers (4 + 8 + 6 + 5 + 3 = 26) and divide by the count of numbers (5). Thus, mean = 26/5 = 6.
Q2
Easy
If the probability of rain tomorrow is 0.3, what is the probability that it will not rain?
A.
0.7
B.
0.3
C.
1.0
D.
0.5
Show Answer & Explanation
Correct Answer: A
The probability of an event not occurring is calculated by subtracting the probability of it occurring from 1. Thus, probability of no rain = 1 - 0.3 = 0.7.
Q3
Easy
A class has 20 students. If 12 are girls, what is the percentage of boys in the class?
A.
40%
B.
60%
C.
50%
D.
30%
Show Answer & Explanation
Correct Answer: A
To find the percentage of boys, first determine the number of boys (20 total - 12 girls = 8 boys). Then, calculate the percentage: (8 boys / 20 total) x 100 = 40%.
Q4
Medium
A store sells pens at P15 each and pencils at P10 each. If a student buys a total of 10 items and spends P130, how many pens did the student buy?
A.
4
B.
5
C.
6
D.
7
Show Answer & Explanation
Correct Answer: B
Let the number of pens be x and pencils be y. We have the equations: x + y = 10 and 15x + 10y = 130. Solving these gives x = 5.
Q5
Medium
A set of data has a mean of 20 and a median of 18. If the largest number in the dataset is removed, what is the most likely effect on the mean?
A.
Increase
B.
Decrease
C.
Remain the same
D.
Cannot be determined
Show Answer & Explanation
Correct Answer: B
Removing the largest number, which is likely above the mean, will reduce the total sum of data and the mean will decrease.
Q6
Medium
If the probability of a student passing an exam is 0.75, what is the probability that out of 4 students, exactly 2 will pass?
A.
0.2637
B.
0.3164
C.
0.2500
D.
0.4219
Show Answer & Explanation
Correct Answer: B
Using the binomial probability formula P(X=k) = (nCk)(p^k)(q^(n-k)), we find P(2 out of 4) = 0.3164.
Q7
Medium
A teacher recorded the scores of 5 students in a quiz as follows: 20, 22, 25, 25, and 30. What is the range of the scores?
A.
10
B.
5
C.
15
D.
20
Show Answer & Explanation
Correct Answer: A
Range is calculated as the difference between the maximum and minimum scores. Here, range = 30 - 20 = 10.
Q8
Hard
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If three balls are drawn at random without replacement, what is the probability that all three balls drawn are of different colors?
A.
1/15
B.
1/10
C.
1/5
D.
1/4
Show Answer & Explanation
Correct Answer: C
To find the probability of drawing three balls of different colors, we need to calculate the number of favorable outcomes and the total outcomes. The total ways to choose 3 balls from 10 is C(10,3) = 120. The favorable outcomes for drawing one of each color can be calculated as 5 (red) * 3 (blue) * 2 (green) = 30. Thus, the probability is 30/120 = 1/4.
Q9
Hard
A class of 30 students took a math exam. The average score was 75. If the lowest score was 60 and the highest score was 90, what is the range of the scores?
A.
30
B.
25
C.
20
D.
15
Show Answer & Explanation
Correct Answer: A
The range is calculated by subtracting the lowest score from the highest score. Here, 90 - 60 = 30, which is the correct range of scores.
Q10
Hard
In a certain survey, 80% of participants prefer coffee over tea. If 250 participants were surveyed, how many prefer tea?
A.
50
B.
200
C.
100
D.
80
Show Answer & Explanation
Correct Answer: A
If 80% prefer coffee, that means 20% prefer tea. Calculating 20% of 250 gives us 0.20 * 250 = 50 participants who prefer tea.
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Statistics and Probability — K-12 (Philippines) K-12 Mathematics Practice Questions Online
This page contains 138 practice MCQs for the chapter Statistics and Probability in K-12 (Philippines) K-12 Mathematics. The questions are organized by difficulty — 44 easy, 74 medium, 20 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.