Chapter Exam

Unit 8: Measures of Dispersion — Online MCQ Test

Q: Which of the following is the correct formula for variance of ungrouped data?

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.

Q: If the standard deviation of a data set is 5, then its variance is:

Answer: A. 25 — Variance is the square of standard deviation. So, 5^2 = 25.

Q: Which of the following is NOT a measure of dispersion?

Answer: C. Mean — Mean is a measure of central tendency, not dispersion.

MATHEMATICS - 2A · CLASS 12 INTERMEDIATE 2 YEAR · Telangana State Board

Practice Unit 8: Measures of Dispersion with a free chapter-wise online MCQ test for Telangana State Board CLASS 12 INTERMEDIATE 2 YEAR MATHEMATICS - 2A. This chapter covers: This chapter covers statistical dispersion measures mean deviation variance standard deviation for ungrouped and grouped data and coefficient of variation.. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Unit 8: Measures of Dispersion — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 12 INTERMEDIATE 2 YEAR MATHEMATICS - 2A — Unit 8: Measures of Dispersion, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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.

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.

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.

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