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Quiz Chapter 12: Measures of Central Tendency

10 questions · Form 2 Mathematics Bab 12: Measures of Central Tendency

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Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. What is the mode of the following set of numbers: 4, 7, 3, 7, 8, 5, 7, 9?

  1. 7
  2. 6
  3. 5
  4. 8
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Answer: A

The number 7 appears most frequently (3 times), so the mode is 7.

2. Which measure of central tendency is most affected by an extreme outlier?

  1. Mean
  2. Median
  3. Mode
  4. Modal Class
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Answer: A

The mean incorporates every value into its total, making it highly sensitive to extreme outliers.

3. Given the frequency table of scores: Score 1 (freq 2), Score 2 (freq 5), Score 3 (freq 3). Find the mode.

  1. 2
  2. 5
  3. 3
  4. 1
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Answer: A

Score 2 has the highest frequency of 5, so the mode is 2.

4. If the numbers 3, 6, 8, x, 12 have a mean of 8, find the value of x.

  1. 11
  2. 9
  3. 10
  4. 12
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Answer: A

Sum = 3 + 6 + 8 + x + 12 = 29 + x. Total numbers = 5. Mean = 29 + x5 = 8 => 29 + x = 40 => x = 11.

5. What happens to the mean of a data set if a constant 5 is added to every data value?

  1. The mean increases by 5
  2. The mean is multiplied by 5
  3. The mean remains unchanged
  4. The mean increases by 5 times N
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Answer: A

Adding a constant k to each value increases the mean by k.

6. Calculate the mean of the numbers: 8, 12, 15, 10, 5.

  1. 10
  2. 12
  3. 9.5
  4. 11
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Answer: A

Sum = 8 + 12 + 15 + 10 + 5 = 50. Total count N = 5. Mean = 505 = 10.

7. What happens to the mean of a data set if every number in the set is multiplied by 3?

  1. The mean is multiplied by 3
  2. The mean increases by 3
  3. The mean remains unchanged
  4. The mean is divided by 3
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Answer: A

Multiplying all values by a constant scale factor k scales the mean by the same factor k.

8. The mean score of 4 students in a test is 15. What is the total score of all 4 students?

  1. 60
  2. 45
  3. 30
  4. 50
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Answer: A

Sum of data = Mean * N = 15 * 4 = 60.

9. In a frequency table, the total sum of (frequency x value) is 120 and total frequency sum is 15. What is the mean?

  1. 8
  2. 7.5
  3. 10
  4. 6
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Answer: A

Mean = sum(f*x) / sum(f) = 12015 = 8.

10. A set of data consists of: 11, 13, 15, 17, 19. What is the mean?

  1. 15
  2. 14
  3. 16
  4. 13
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Answer: A

Sum = 75, Count = 5. Mean = 755 = 15.

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