Unit 8: Measures of Dispersion — Online MCQ Test
MATHEMATICS - 2A · CLASS 12 INTERMEDIATE 2 YEAR · Telangana State Board
Practice Unit 8: Measures of Dispersion with a free chapter-wise online MCQ test.
This chapter covers: This chapter covers statistical dispersion measures mean deviation variance standard deviation for ungrouped and grouped data and coefficient of variation..
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Unit 8: Measures of Dispersion — Important Questions & Answers
What is the mean deviation of a set of observations measured about their arithmetic mean?
- A. Arithmetic mean of the observations
- B. Average of the absolute deviations from the mean
- C. Square root of variance
- D. Difference between maximum and minimum values
Answer: B. Average of the absolute deviations from the mean
Mean deviation is defined as the arithmetic average of the absolute deviations taken from a central value, usually the mean or median.
Mean deviation is defined as the arithmetic average of the absolute deviations taken from a central value, usually the mean or median.
Which of the following is the correct formula for variance of ungrouped data?
- A. Σ|x - x̄| / n
- B. Σ(x - x̄)^2 / n
- C. Σx / n
- D. (Maximum - Minimum) / 2
Answer: B. Σ(x - x̄)^2 / n
Variance is the mean of the squared deviations from the arithmetic mean. For ungrouped data, it is Σ(x - x̄)^2 divided by n.
Variance is the mean of the squared deviations from the arithmetic mean. For ungrouped data, it is Σ(x - x̄)^2 divided by n.
If the standard deviation of a data set is 5, then its variance is:
- A. 25
- B. 10
- C. 15
- D. 20
Answer: A. 25
Variance is the square of standard deviation. So, 5^2 = 25.
Variance is the square of standard deviation. So, 5^2 = 25.
Which of the following is NOT a measure of dispersion?
- A. Range
- B. Standard deviation
- C. Mean
- D. Variance
Answer: C. Mean
Mean is a measure of central tendency, not dispersion.
Mean is a measure of central tendency, not dispersion.
Which statement is correct for comparing two series with different means using coefficient of variation?
- A. The series with larger mean is always more consistent
- B. The series with smaller standard deviation is always more consistent
- C. The series with smaller coefficient of variation is more consistent
- D. The series with larger variance is more consistent
Answer: C. The series with smaller coefficient of variation is more consistent
Coefficient of variation measures relative dispersion. A smaller C.V. indicates greater consistency.
Coefficient of variation measures relative dispersion. A smaller C.V. indicates greater consistency.