Statistics Practice Questions

SPM (Malaysia) · SPM Mathematics · 149 free MCQs with instant results and detailed explanations.

149
Total
46
Easy
79
Medium
24
Hard

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Sample Questions from Statistics

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Q1
Easy
If the mode of a data set is 10, what does this indicate?
A. 10 is the highest number in the set.
B. 10 occurs most frequently in the set.
C. The data set has no repeating values.
D. 10 is the average of the set.
Show Answer & Explanation
Correct Answer: B
The mode is defined as the value that appears most frequently in a data set. Therefore, if the mode is 10, it indicates that 10 occurs most frequently.
Q2
Easy
In a class of 20 students, 12 are girls. What is the probability that a randomly selected student is a girl?
A. 0.6
B. 0.4
C. 0.5
D. 0.3
Show Answer & Explanation
Correct Answer: A
Probability is calculated as the number of favorable outcomes divided by the total outcomes. Here, P(girl) = 12/20 = 0.6.
Q3
Easy
If the average score of 5 students in a math test is 80, what is the total score of all students combined?
A. 400
B. 350
C. 300
D. 450
Show Answer & Explanation
Correct Answer: A
The average score is calculated by dividing the total score by the number of students. If the average is 80 for 5 students, the total score is 80 multiplied by 5, which equals 400.
Q4
Medium
What is the median of the following data set: 12, 15, 13, 19, 11?
A. 12
B. 13
C. 15
D. 19
Show Answer & Explanation
Correct Answer: B
To find the median, arrange the numbers in ascending order: 11, 12, 13, 15, 19. The median is the middle value, which is 13.
Q5
Medium
In a set of data with a mean of 50 and a total of 5 values, what is the total sum of the values?
A. 200
B. 250
C. 150
D. 100
Show Answer & Explanation
Correct Answer: A
The mean is calculated as the total sum divided by the number of values. Therefore, total sum = mean ร— number of values = 50 ร— 4 = 200.
Q6
Medium
A box contains 3 red, 5 blue, and 2 green balls. What is the probability of randomly picking a blue ball?
A. 1/2
B. 5/10
C. 1/5
D. 1/4
Show Answer & Explanation
Correct Answer: B
The total number of balls is 3 + 5 + 2 = 10. The probability of picking a blue ball is the number of blue balls divided by the total number of balls, which is 5/10 or 1/2.
Q7
Medium
In a frequency distribution, the class interval is 10-20, what is the lower class boundary?
A. 10
B. 9.5
C. 20
D. 19.5
Show Answer & Explanation
Correct Answer: B
The lower class boundary is calculated by subtracting 0.5 from the lower limit of the class interval. Therefore, the lower boundary for the interval 10-20 is 10 - 0.5 = 9.5.
Q8
Hard
Given the following data set: {12, 15, 18, 18, 20, 21, 21, 25, 30}, what is the median of the data?
A. 18
B. 20
C. 21
D. 19
Show Answer & Explanation
Correct Answer: C
To calculate the median, first arrange the data in ascending order. The data set has 9 numbers (odd count), so the median is the middle value, which is the 5th number (21).
Q9
Hard
A group of students scored the following marks in a mathematics test: 45, 67, 55, 70, 65, 80, 75. What is the median score of the group?
A. 65
B. 67
C. 70
D. 75
Show Answer & Explanation
Correct Answer: C
To find the median, we first arrange the scores in ascending order: 45, 55, 65, 67, 70, 75, 80. The median is the middle value, which is the 4th score in this case, equating to 70.
Q10
Hard
In a survey of the heights (in cm) of a class of students, the following frequency distribution was recorded: Height: 150-159 (5), 160-169 (10), 170-179 (15), 180-189 (5). What is the mean height of the students?
A. 164.5
B. 167
C. 170
D. 172
Show Answer & Explanation
Correct Answer: A
To calculate the mean, we use the formula: Mean = (ฮฃ(f * x)) / N, where f is the frequency and x is the midpoint of each class. The midpoints are 154.5, 164.5, 174.5, and 184.5. Calculating gives a total of 164.5.

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Statistics โ€” SPM (Malaysia) SPM Mathematics Practice Questions Online

This page contains 149 practice MCQs for the chapter Statistics in SPM (Malaysia) SPM Mathematics. The questions are organized by difficulty โ€” 46 easy, 79 medium, 24 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.