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Quiz Chapter 12: Measures of Central Tendency

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

10 questions · plays in fullscreen

Full Question List & Answer Key

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

1. Which measure of central tendency should be used when data contains extreme values and is skewed?

  1. Median
  2. Mean
  3. Mode
  4. Standard Deviation
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Answer: A

The median is robust against extreme values and provides the most representative center for skewed distributions.

2. 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.

3. 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.

4. Find the median of the even set of numbers: 4, 10, 8, 14, 6, 12.

  1. 9
  2. 8
  3. 10
  4. 8.5
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Answer: A

Arrange in ascending order: 4, 6, 8, 10, 12, 14. Middle two numbers are 8 and 10. Median = 8 + 102 = 9.

5. Find the median position formula for a data set of N = 25 items.

  1. 13th position
  2. 12th position
  3. 12.5th position
  4. 14th position
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Answer: A

For odd N = 25, median position = 25 + 12 = 13th position.

6. Which measure of central tendency is most suitable for categorical data like shirt sizes (S, M, L, XL)?

  1. Mode
  2. Mean
  3. Median
  4. Range
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Answer: A

Mode is the only central tendency measure applicable to non-numerical (categorical) data.

7. The values 2, 4, 6, 8, 10, 100 have a median of:

  1. 7
  2. 21.67
  3. 8
  4. 10
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Answer: A

Data is already ordered. Middle terms are 6 and 8. Median = 6 + 82 = 7.

8. Find the median of the data set: 12, 5, 22, 17, 9.

  1. 12
  2. 13
  3. 17
  4. 9
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Answer: A

Arrange in ascending order: 5, 9, 12, 17, 22. The middle value (3rd number) is 12.

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. The modal class of a grouped frequency distribution is the class with the:

  1. Highest frequency
  2. Middle frequency
  3. Lowest frequency
  4. Highest class limit
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Answer: A

By definition, the modal class is the class interval possessing the highest frequency.

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