For a normal distribution, the relationship between Quartile Deviation (QD), Mean Deviation (MD), and Standard Deviation (SD) is roughly: MCQ with Answer and Explanation

For a normal distribution, the relationship between Quartile Deviation (QD), Mean Deviation (MD), and Standard Deviation (SD) is roughly:
A. SD = MD = QD
B. 6 SD = 5 MD = 4 QD
C. 2 SD = 3 MD = 4 QD
D. 4 SD = 5 MD = 6 QD
Answer: Option D
Solution (By JKSSB Mock Tests)
In a perfectly normal distribution, QD is about 2/3 of SD, and MD is about 4/5 of SD, yielding the 4:5:6 ratio.

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Practice More Statistics Questions

Question #1
In data classification, 'class width' refers to:
A. The frequency of the modal class
B. The number of classes in the distribution
C. The difference between upper and lower class limits
D. The midpoint of a class interval

Correct Answer: Option C


Explanation:
Class width (or class size) is the difference between the upper and lower boundaries of a class interval, determining the range of values grouped together in a frequency distribution.

This question belongs to: Accountancy and Statistics Statistics
Question #2
For a dataset with values 2, 4, 8, 16, 32, the geometric mean is:
A. 6
B. 10
C. 12
D. 8

Correct Answer: Option D


Explanation:
Product = 32768. (32768)^(1/5) = 8 (since 8^5 = 32768).

This question belongs to: Accountancy and Statistics Statistics
Question #3
A researcher wants to study the spending habits of households. She divides the city into blocks and randomly selects a few blocks, then surveys every household within them. This is an example of:
A. Stratified sampling
B. Cluster sampling
C. Quota sampling
D. Systematic sampling

Correct Answer: Option B


Explanation:
Selecting entire groups (clusters) randomly and surveying all units within is cluster sampling. It differs from stratified sampling where samples are drawn from each stratum.

This question belongs to: Accountancy and Statistics Statistics