Statistics Practice Questions
GCSE · GCSE Mathematics · 144 free MCQs with instant results and detailed explanations.
144
Total
52
Easy
69
Medium
23
Hard
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Sample Questions from Statistics
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Q1
Easy
What is the mode of the following set of numbers: 3, 7, 3, 2, 5, 3, 8?
A.
3
B.
7
C.
5
D.
8
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently in a data set. In this case, 3 appears three times, more than any other number.
Q2
Easy
If a class has 20 students and their average score in a test is 75, what is the total score of all students?
A.
1500
B.
1200
C.
1000
D.
1800
Show Answer & Explanation
Correct Answer: A
To find the total score, multiply the average score by the number of students: 75 × 20 = 1500.
Q3
Easy
A survey of 50 people found that 30 preferred tea over coffee. What percentage of the surveyed people preferred tea?
A.
60%
B.
50%
C.
70%
D.
40%
Show Answer & Explanation
Correct Answer: A
To find the percentage, divide the number of tea preference (30) by the total number of surveyed people (50) and then multiply by 100: (30/50) * 100 = 60%.
Q4
Medium
A teacher records the scores of 5 students in a test: 82, 76, 91, 85, and 78. What is the median score?
A.
82
B.
85
C.
78
D.
91
Show Answer & Explanation
Correct Answer: B
To find the median, we first arrange the scores in ascending order: 76, 78, 82, 85, 91. The middle score (3rd score) is 85, which is the median.
Q5
Medium
A data set consists of the numbers: 4, 8, 6, 5, 3, 7. What is the range of this data set?
A.
2
B.
3
C.
5
D.
4
Show Answer & Explanation
Correct Answer: C
The range is calculated by subtracting the smallest value (3) from the largest value (8). Thus, the range is 8 - 3 = 5.
Q6
Medium
A group of friends recorded the number of books they read last year: 12, 15, 10, 9, 18. What is the mode of the data?
A.
10
B.
12
C.
15
D.
No mode
Show Answer & Explanation
Correct Answer: D
The mode is the number that appears most frequently. In this case, each number appears only once, so there is no mode.
Q7
Medium
A survey found that 60% of students prefer online classes over in-person classes. If 200 students were surveyed, how many prefer online classes?
A.
120
B.
100
C.
150
D.
80
Show Answer & Explanation
Correct Answer: A
To find the number of students who prefer online classes, multiply 60% of 200. 0.6 * 200 = 120.
Q8
Hard
A survey of 100 students revealed their preferred mode of transport to school. The results were as follows: 30 students preferred walking, 25 preferred cycling, 35 preferred taking a bus, and 10 preferred carpooling. What percentage of students preferred taking a bus?
A.
35%
B.
25%
C.
30%
D.
10%
Show Answer & Explanation
Correct Answer: A
To find the percentage of students who preferred taking a bus, divide the number of students who preferred the bus (35) by the total number of students (100) and multiply by 100. Thus, (35/100) * 100 = 35%.
Q9
Hard
In a data set consisting of the following numbers: 12, 15, 12, 18, 20, 15, 12, 25, 30, what is the median of this data set?
A.
15
B.
18
C.
12
D.
20
Show Answer & Explanation
Correct Answer: B
To find the median, first sort the numbers in ascending order: 12, 12, 12, 15, 15, 18, 20, 25, 30. Since there are 9 numbers (odd), the median is the middle number, which is the 5th number, 18.
Q10
Hard
In a class of 20 students, the following marks were recorded: 45, 55, 60, 60, 65, 70, 70, 75, 75, 80, 85, 85, 90, 90, 95, 100, 100, 100, 100, 100. What is the mode of the marks?
A.
85
B.
100
C.
90
D.
75
Show Answer & Explanation
Correct Answer: B
The mode is the value that appears most frequently in a dataset. In this case, the score '100' appears five times, which is more than any other score. Therefore, the mode of the marks is 100.
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Statistics — GCSE GCSE Mathematics Practice Questions Online
This page contains 144 practice MCQs for the chapter Statistics in GCSE GCSE Mathematics. The questions are organized by difficulty — 52 easy, 69 medium, 23 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.