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Quiz Chapter 12: Measures of Central Tendency

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

Question 1 of 10Score: 0

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

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 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.

2. 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.

3. Five numbers have a median of 14. If the data set in ascending order is 8, 10, m, 18, 21, what is m?

  1. 14
  2. 12
  3. 16
  4. 10
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Answer: A

In an ordered 5-item set, the median is the 3rd term (m). Thus, m = 14.

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. 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.

6. Find the mode of the data set: 2, 5, 8, 2, 5, 9, 10.

  1. 2 and 5
  2. 5 only
  3. 2 only
  4. No mode
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Answer: A

Both 2 and 5 appear twice with the highest frequency, making this data set bimodal.

7. 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.

8. The mean height of 6 basketball players is 180 cm. A new player of height 194 cm joins the team. What is the new mean height?

  1. 182 cm
  2. 181 cm
  3. 184 cm
  4. 183 cm
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Answer: A

Original total height = 6 * 180 = 1080 cm. New total = 1080 + 194 = 1274 cm. New mean = 12747 = 182 cm.

9. 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.

10. 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.

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