Statistics Practice Questions
IGCSE (Cambridge) · IGCSE Mathematics · 147 free MCQs with instant results and detailed explanations.
147
Total
51
Easy
72
Medium
24
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, 9, 3, 1?
A.
3
B.
2
C.
1
D.
9
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently in a data set. Here, the number 3 appears three times, which is more than any other number.
Q2
Easy
If the mean of the numbers 5, 7, 8, x, and 10 is 8, what is the value of x?
A.
10
B.
15
C.
12
D.
8
Show Answer & Explanation
Correct Answer: C
To find x, we set up the equation for the mean: (5 + 7 + 8 + x + 10) / 5 = 8. Solving this gives x = 12.
Q3
Easy
What is the mean of the following data set: 4, 8, 6, 5, 3?
A.
5.2
B.
5.5
C.
6
D.
7
Show Answer & Explanation
Correct Answer: A
To find the mean, sum the data values (4 + 8 + 6 + 5 + 3 = 26) and divide by the number of values (5). Mean = 26 / 5 = 5.2.
Q4
Medium
In a set of data, the following numbers represent the ages of five siblings: 12, 15, 18, 22, and x. If the median age is 18, what is the value of x?
A.
15
B.
18
C.
20
D.
22
Show Answer & Explanation
Correct Answer: C
To find x, the ages must be arranged in order. For the median to be 18, x must be greater than 18. The ordered set will be: 12, 15, 18, x, 22. The third position is 18 when x is 20, making the median correct.
Q5
Medium
The following data represents the number of books read by a group of students in a month: 4, 5, 6, 6, 7, 8, 9. What is the mode of this data set?
A.
6
B.
7
C.
8
D.
9
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently in a data set. In this case, the number 6 appears twice, which is more than any other number.
Q6
Medium
A survey was conducted to determine the favorite fruit among 100 people. The results were: 30 liked apples, 25 liked bananas, 20 liked oranges, and 25 liked grapes. What percentage of people liked apples?
A.
25%
B.
30%
C.
35%
D.
40%
Show Answer & Explanation
Correct Answer: B
To find the percentage of people who liked apples, divide the number who liked apples (30) by the total (100) and multiply by 100. (30/100) * 100 = 30%.
Q7
Medium
In a school, the heights of students are normally distributed with a mean of 150 cm and a standard deviation of 10 cm. Approximately what percentage of students are taller than 170 cm?
A.
2.5%
B.
15.9%
C.
50%
D.
84.1%
Show Answer & Explanation
Correct Answer: A
Using the empirical rule, about 95% of students fall within 2 standard deviations. Hence, only 2.5% are above 170 cm, which is more than 2 standard deviations from the mean.
Q8
Hard
A bag contains 5 red, 3 blue, and 2 green balls. If 3 balls are drawn at random without replacement, what is the probability that all three balls drawn are of different colors?
A.
0.15
B.
0.25
C.
0.30
D.
0.20
Show Answer & Explanation
Correct Answer: B
To find the probability of drawing one ball of each color, we calculate the total ways to select 3 balls of different colors and then divide by the total ways to select any 3 balls. The successful combinations are (5 red, 3 blue, 2 green) which computes to a probability of 0.25.
Q9
Hard
A dataset contains the following ages of participants in a survey: 22, 25, 29, 29, 30, 32, 32, 32, 35, 40. What is the mode of this dataset?
A.
29
B.
30
C.
32
D.
35
Show Answer & Explanation
Correct Answer: C
The mode is the value that appears most frequently in a dataset. Here, the age '32' appears three times, more than any other age.
Q10
Hard
A researcher conducts an experiment and records the weights (in kg) of 10 different fruits: 1.2, 1.5, 0.8, 1.3, 1.4, 1.7, 1.1, 1.6, 0.9, 1.0. If the researcher wants to find the interquartile range (IQR) of the weights, which of the following values represents the IQR?
A.
0.8
B.
0.5
C.
0.7
D.
0.6
Show Answer & Explanation
Correct Answer: B
To find the IQR, determine the first (Q1) and third (Q3) quartiles. After sorting the weights, Q1 is 1.1 and Q3 is 1.6, so IQR = Q3 - Q1 = 1.6 - 1.1 = 0.5.
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Statistics — IGCSE (Cambridge) IGCSE Mathematics Practice Questions Online
This page contains 147 practice MCQs for the chapter Statistics in IGCSE (Cambridge) IGCSE Mathematics. The questions are organized by difficulty — 51 easy, 72 medium, 24 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.