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Quiz Chapter 7: Measures of Dispersion for Grouped Data

10 questions · Form 5 Mathematics Bab 7: Measures of Dispersion for Grouped Data

Question 1 of 10Score: 0

Calculate the class size for the class interval 15 - 19.

Full Question List & Answer Key

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

1. Calculate the class size for the class interval 15 - 19.

  1. A. 5
  2. B. 4
  3. C. 4.5
  4. D. 17
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Answer: A

Lower boundary = 14.5, Upper boundary = 19.5. Class size = 19.5 - 14.5 = 5.

2. The Modal Class in a grouped frequency table is the class interval with the:

  1. A. Highest frequency
  2. B. Highest midpoint
  3. C. Largest class size
  4. D. Highest cumulative frequency
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Answer: A

The modal class is the class interval containing the maximum frequency.

3. Using ∑f = 50, ∑fx = 300, and ∑fx² = 2300, find the variance σ².

  1. A. 10
  2. B. 46
  3. C. 36
  4. D. 100
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Answer: A

Variance σ² = (∑fx² / ∑f) - (x̄)² = (230050) - 6² = 46 - 36 = 10.

4. What is the standard deviation σ for a dataset with a variance of 16?

  1. A. 4
  2. B. 256
  3. C. 8
  4. D. 2
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Answer: A

Standard deviation σ = √(Variance) = √16 = 4.

5. What is the midpoint of the class interval 40 - 48?

  1. A. 44
  2. B. 44.5
  3. C. 40
  4. D. 48
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Answer: A

Midpoint x = Lower limit + Upper limit2 = 40 + 482 = 44.

6. In a grouped data table with class intervals 10-14, 15-19, 20-24, what is the lower boundary of the starting point on an ogive?

  1. B. 9.5
  2. A. 10
  3. C. 14.5
  4. D. 0
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Answer: B

An ogive starts at cumulative frequency 0 at the lower boundary of the first class interval (10 - 0.5 = 9.5).

7. Which measure of dispersion is affected by every score in a grouped dataset and measured in squared units?

  1. B. Variance
  2. A. Interquartile range
  3. C. Standard deviation
  4. D. Range
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Answer: B

Variance measures the mean of squared deviations from the mean and is expressed in square units.

8. When constructing a frequency polygon directly from a histogram, line segments connect:

  1. A. Midpoints of the top of adjacent bars
  2. B. Upper boundaries of adjacent bars
  3. C. Lower boundaries of adjacent bars
  4. D. Top-left corners of adjacent bars
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Answer: A

A frequency polygon connects the midpoints of the top edges of histogram bars.

9. For N = 200, the first quartile Q₁ occurs at a cumulative frequency of:

  1. C. 50
  2. A. 25
  3. B. 100
  4. D. 150
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Answer: C

Position of Q₁ = (14) × 200 = 50.

10. If total frequency N = 80, at what cumulative frequency do you locate the third quartile (Q₃) on an ogive?

  1. C. 60
  2. A. 20
  3. B. 40
  4. D. 75
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Answer: C

Q₃ corresponds to (34) × N = (34) × 80 = 60.

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