Statistics Practice Questions
KCSE (Kenya) · KCSE Mathematics · 146 free MCQs with instant results and detailed explanations.
146
Total
46
Easy
76
Medium
24
Hard
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Sample Questions from Statistics
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
In a survey of 30 students, 15 said they prefer Mathematics while 10 prefer English. If 5 students prefer neither subject, how many students prefer at least one subject?
A.
25
B.
30
C.
20
D.
15
Show Answer & Explanation
Correct Answer: A
The number of students who prefer at least one subject can be found by subtracting those who prefer neither from the total. Total students = 30; Those who prefer neither = 5; Thus, 30 - 5 = 25 prefer at least one subject.
Q2
Easy
If the median of a data set is 12, what does this signify about the data?
A.
Half the data is above 12.
B.
All data points are below 12.
C.
The average of the data is 12.
D.
Data points could be either above or below 12.
Show Answer & Explanation
Correct Answer: D
The median indicates the middle value, so data points can be both above and below it.
Q3
Easy
In a group of students, 60% are girls. If there are 40 students in total, how many are girls?
A.
24
B.
20
C.
30
D.
36
Show Answer & Explanation
Correct Answer: A
To find the number of girls, calculate 60% of 40: (60/100) * 40 = 24.
Q4
Medium
In a survey, 150 people were asked about their favorite fruit. The results show that 90 like apples, 60 like oranges, and 30 like both. What is the probability that a randomly selected person likes apples only?
A.
0.4
B.
0.2
C.
0.5
D.
0.3
Show Answer & Explanation
Correct Answer: A
Total liking apples = 90. Those liking apples only = 90 - 30 = 60. Probability = 60/150 = 0.4.
Q5
Medium
A teacher records the heights of 50 students and finds the following frequency distribution: Height (cm): 140-144, 145-149, 150-154, 155-159; Frequencies: 5, 15, 20, 10. What is the mode of the heights?
A.
150-154 cm
B.
145-149 cm
C.
140-144 cm
D.
155-159 cm
Show Answer & Explanation
Correct Answer: A
The mode is the interval with the highest frequency. Here, 150-154 cm has the highest frequency of 20, making it the mode.
Q6
Medium
If the median of a set of five numbers is 20, which of the following could be the set of numbers in ascending order?
A.
[15, 20, 25, 30, 35]
B.
[10, 20, 20, 20, 30]
C.
[20, 20, 20, 20, 20]
D.
[5, 15, 25, 30, 35]
Show Answer & Explanation
Correct Answer: B
The median is the middle value in an ordered set. In the set [10, 20, 20, 20, 30], the median is 20, fitting the given condition.
Q7
Medium
In a class of 50 students, the average score in Mathematics is 75. If 10 students score below average, what is the total score of the above-average students?
A.
3750
B.
3000
C.
1500
D.
2250
Show Answer & Explanation
Correct Answer: A
The total score of all students is 50 * 75 = 3750. If 10 students score below average, their total score is less than 750. Therefore, the remaining 40 students must have a total score of 3750, making their total score 3750.
Q8
Hard
In a class of 40 students, the scores in a mathematics test have a mean of 75 and a standard deviation of 10. If the highest score is 95, what percentage of students scored below the mean?
A.
50%
B.
40%
C.
60%
D.
70%
Show Answer & Explanation
Correct Answer: A
In a normal distribution, the mean divides the data into two equal halves. Therefore, 50% of the students score below the mean.
Q9
Hard
A researcher measures the heights of 100 randomly selected adult males and finds a median height of 175 cm. If the heights are normally distributed, what does this imply about the heights of the population?
A.
The mean height is greater than 175 cm.
B.
The mean height is less than 175 cm.
C.
The mean height is equal to 175 cm.
D.
The heights are uniformly distributed.
Show Answer & Explanation
Correct Answer: C
In a normal distribution, the mean, median, and mode are all equal. Therefore, if the median height is 175 cm, the mean height must also be 175 cm.
Q10
Hard
In a certain town, the average annual temperature over a decade is recorded as 25°C with a standard deviation of 3°C. If the temperature in a particular year is 29°C, what is the z-score of that temperature?
A.
1.33
B.
2.00
C.
0.67
D.
1.00
Show Answer & Explanation
Correct Answer: A
The z-score is calculated using the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. Here, z = (29 - 25) / 3 = 1.33.
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Statistics — KCSE (Kenya) KCSE Mathematics Practice Questions Online
This page contains 146 practice MCQs for the chapter Statistics in KCSE (Kenya) KCSE Mathematics. The questions are organized by difficulty — 46 easy, 76 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.