1
Find the mean of 4, 8, 12, 16 and 20.
Correct answer: A. 12
Mean = sum ÷ number of values = 60 ÷ 5 = 12.
easy
Basic Statistics: Mean, Median and Mode MCQs
Solved mathematics MCQs on mean, median, mode, range, weighted and combined averages, and the effect of changing data, for PPSC, FPSC and NTS tests.
20 MCQsUpdated 30 October 2026
These MCQs explain the main measures of statistics: the mean, median and mode, the range, weighted and combined averages, and how the mean changes when every value is increased or multiplied.
Remember to arrange the data in order before finding the median, and use totals (mean × number of values) for questions on adding or removing values. Every answer here was calculated and checked by script.
- 2
Find the median of 3, 7, 9, 12 and 15.
Correct answer: B. 9
The values are already in order; the middle (3rd) value is 9.
easy - 3
Find the median of 2, 5, 8 and 11.
Correct answer: C. 6.5
With an even number of values, the median is the mean of the two middle values: (5 + 8) ÷ 2 = 6.5.
medium - 4
Find the mode of 3, 5, 5, 7, 8, 5, 9.
Correct answer: D. 5
5 appears three times, more often than any other value, so the mode is 5.
easy - 5
Find the range of 12, 25, 7, 30 and 18.
Correct answer: A. 23
Range = largest − smallest = 30 − 7 = 23.
easy - 6
What is the mean of the first 10 even natural numbers?
Correct answer: B. 11
The numbers are 2, 4, …, 20; their sum is 110, so the mean is 110 ÷ 10 = 11.
medium - 7
The mean of 5 numbers is 18. What is their sum?
Correct answer: C. 90
Sum = mean × number of values = 18 × 5 = 90.
easy - 8
The mean of 6 numbers is 15. When one number is removed, the mean of the rest is 14. What number was removed?
Correct answer: D. 20
The total falls from 6 × 15 = 90 to 5 × 14 = 70, so the removed number is 20.
medium - 9
A student scores 60, 70 and 80 in three tests carrying weights 1, 2 and 1. What is the weighted mean?
Correct answer: A. 70
Weighted mean = (60 × 1 + 70 × 2 + 80 × 1) ÷ (1 + 2 + 1) = 280 ÷ 4 = 70.
medium - 10
The mean of a set of numbers is 20. If 5 is added to every number, what is the new mean?
Correct answer: B. 25
Adding the same amount to every value adds it to the mean as well: 20 + 5 = 25.
easy - 11
The mean of a set of numbers is 8. If every number is multiplied by 3, what is the new mean?
Correct answer: C. 24
Multiplying every value by 3 multiplies the mean by 3: 8 × 3 = 24.
easy - 12
Find the median of 10, 20, 30, 40, 50 and 60.
Correct answer: D. 35
The two middle values are 30 and 40, so the median is (30 + 40) ÷ 2 = 35.
easy - 13
A set of data in which two different values occur most often (equally) is called:
Correct answer: B. Bimodal
Data with two modes is bimodal; with one mode it is unimodal.
easy - 14
What is the arithmetic mean of 1/2 and 1/3?
Correct answer: A. 5/12
Mean = (1/2 + 1/3) ÷ 2 = (5/6) ÷ 2 = 5/12.
medium - 15
The mean of x, x + 2 and x + 4 is 10. What is the value of x?
Correct answer: A. 8
(x + x + 2 + x + 4) ÷ 3 = 10, so 3x + 6 = 30 and x = 8.
medium - 16
In a class, the 20 boys average 60 marks and the 30 girls average 70 marks. What is the average of the whole class?
Correct answer: B. 66
Total marks = 20 × 60 + 30 × 70 = 1,200 + 2,100 = 3,300; 3,300 ÷ 50 = 66.
medium - 17
For 15 values arranged in order, the median is which value?
Correct answer: B. the 8th
For an odd count n, the median is the ((n + 1) ÷ 2)th value: (15 + 1) ÷ 2 = 8th.
easy - 18
The value that occurs most frequently in a data set is called the:
Correct answer: C. Mode
The mode is the most frequent value; the median is the middle value and the mean is the average.
easy - 19
Which measure of central tendency is most affected by extremely large or small values?
Correct answer: A. Mean
The mean uses every value, so one very large or small value pulls it strongly; the median and mode are more resistant.
medium - 20
What is the mean of the seven consecutive numbers starting from 11?
Correct answer: C. 14
The numbers are 11 to 17. For consecutive numbers the mean is the middle value, 14.
easy