If each value in a dataset is increased by 10, which of the following measures remains unchanged? MCQ with Answer and Explanation

If each value in a dataset is increased by 10, which of the following measures remains unchanged?
A. Range
B. Mean
C. First quartile
D. Median
Answer: Option A
Solution (By JKExamLibrary)
Range depends on difference between max and min; both increase by 10, so range unchanged.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
The primary measure of inflation used by RBI for monetary policy is:
A. Consumer food price index
B. CPI (Combined)
C. Wholesale Price Index
D. GDP deflator

Correct Answer: Option B


Explanation:
RBI adopted the CPI (Combined) as the key measure of inflation for policy targets.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
In a factory, machines A, B, and C produce 30%, 45%, and 25% of total output, with defect rates of 2%, 3%, and 4% respectively. If a randomly selected item is defective, the probability it was produced by machine B is approximately:
A. 0.43
B. 0.30
C. 0.50
D. 0.45

Correct Answer: Option A


Explanation:
Using Bayes' theorem: P(B|Defective) = [P(Defective|B) × P(B)] / [Σ P(Defective|machine) × P(machine)] = (0.03×0.45) / (0.02×0.30 + 0.03×0.45 + 0.04×0.25) = 0.0135 / 0.0315 ≈ 0.4286 ≈ 0.43.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The probability of obtaining a sum of 9 in a single throw of two dice is:
A. 1/9
B. 1/12
C. 1/6
D. 1/36

Correct Answer: Option A


Explanation:
Favorable outcomes: (3,6),(4,5),(5,4),(6,3) → 4. Probability = 4/36 = 1/9.

This question belongs to: Accountancy and Statistics Statistics