Examination: Statistics And Probability 2026/2027 Questions With Verified Answers & Complete Rationales

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EXAMINATION: STATISTICS AND
PROBABILITY 2026/2027 QUESTIONS
WITH VERIFIED ANSWERS &
COMPLETE RATIONALES

## SECTION 1: DESCRIPTIVE STATISTICS




**1. What is the mean of the following data set: 4, 8, 12, 16,
20?**


A. 8
B. 10
C. 12
D. 14


**Correct answer:** 12


**Rationale:** Mean = sum of all values ÷ number of values.
Sum = 4 + 8 + 12 + 16 + 20 = 60. Number of values = 5. Mean
= 60 ÷ 5 = 12. Like finding the average number of pumpkins
harvested per day in October.

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**2. What is the median of the following data set: 3, 7, 5, 9, 11,
6, 8?**


A. 6
B. 7
C. 8
D. 9


**Correct answer:** 7


**Rationale:** First, arrange the data in order: 3, 5, 6, 7, 8, 9,
11. The median is the middle value. Since there are 7 values,
the median is the 4th value: 7. If there were an even number of
values, the median would be the average of the two middle
values.


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**3. What is the mode of the following data set: 2, 4, 4, 6, 8, 4,
10?**


A. 2
B. 4

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C. 6
D. 10


**Correct answer:** 4


**Rationale:** The mode is the value that appears most
frequently. In this data set, 4 appears three times, more than
any other value. The mode is 4.


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**4. What is the range of the following data set: 12, 15, 8, 22,
19?**


A. 8
B. 10
C. 14
D. 22


**Correct answer:** 14


**Rationale:** Range = maximum value - minimum value.
Maximum = 22, minimum = 8. Range = 22 - 8 = 14.


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