If the median of a dataset is 40 and the first quartile is 30, the third quartile is 50. The interquartile range is: MCQ with Answer and Explanation

If the median of a dataset is 40 and the first quartile is 30, the third quartile is 50. The interquartile range is:

A. 40

B. 10

C. 20

D. 80

Answer: Option C

IQR = Q3 - Q1 = 50-30 = 20.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

For a set of discrete values, which measure of central tendency minimizes the sum of squared deviations?

A. Median

B. Harmonic Mean

C. Mode

D. Arithmetic Mean

Correct Answer: Option D

Explanation:
A fundamental property of the arithmetic mean is that the sum of the squares of deviations from it is always minimum.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Sturges' rule for the number of classes k is:

A. k = 1 + 3.322 log₁₀ N

B. k = 3.322 log₁₀ N

C. k = log₁₀ N

D. k = 1 + 2.322 log₁₀ N

Correct Answer: Option A

Explanation:
The formula k = 1 + 3.322 log₁₀ N gives an approximate optimal number of classes.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

In the theory of attributes, the total number of objects N is equal to:

A. (AB)+(Aβ)+(αB)+(αβ)

B. (A)+(B)-(AB)

C. Both A and B

D. (A)+(α)

Correct Answer: Option C

Explanation:
Both identities hold; (A)+(α)=N, and the sum of ultimate class frequencies also equals N.

This question belongs to: Accountancy and Statistics Statistics