10 questions ยท Form 2 Mathematics Bab 12: Measures of Central Tendency
Find the mode of the data set: 2, 5, 8, 2, 5, 9, 10.
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Find the mode of the data set: 2, 5, 8, 2, 5, 9, 10.
Answer: A
Both 2 and 5 appear twice with the highest frequency, making this data set bimodal.
2. What is the mode of the following set of numbers: 4, 7, 3, 7, 8, 5, 7, 9?
Answer: A
The number 7 appears most frequently (3 times), so the mode is 7.
3. What happens to the mean of a data set if every number in the set is multiplied by 3?
Answer: A
Multiplying all values by a constant scale factor k scales the mean by the same factor k.
4. Five numbers have a median of 14. If the data set in ascending order is 8, 10, m, 18, 21, what is m?
Answer: A
In an ordered 5-item set, the median is the 3rd term (m). Thus, m = 14.
5. Find the median of the even set of numbers: 4, 10, 8, 14, 6, 12.
Answer: A
Arrange in ascending order: 4, 6, 8, 10, 12, 14. Middle two numbers are 8 and 10. Median = 8 + 102 = 9.
6. If the numbers 3, 6, 8, x, 12 have a mean of 8, find the value of x.
Answer: A
Sum = 3 + 6 + 8 + x + 12 = 29 + x. Total numbers = 5. Mean = 29 + x5 = 8 => 29 + x = 40 => x = 11.
7. The mean score of 4 students in a test is 15. What is the total score of all 4 students?
Answer: A
Sum of data = Mean * N = 15 * 4 = 60.
8. Find the median position formula for a data set of N = 25 items.
Answer: A
For odd N = 25, median position = 25 + 12 = 13th position.
9. Calculate the mean of the numbers: 8, 12, 15, 10, 5.
Answer: A
Sum = 8 + 12 + 15 + 10 + 5 = 50. Total count N = 5. Mean = 505 = 10.
10. A set of data consists of: 11, 13, 15, 17, 19. What is the mean?
Answer: A
Sum = 75, Count = 5. Mean = 755 = 15.