Assertion (A): The median is a better measure of central tendency than the mean for ordinal data. Reason (R): The median is based on the rank order and is unaffected by the exact magnitude of differences. Choose the correct option: MCQ with Answer and Explanation

Assertion (A): The median is a better measure of central tendency than the mean for ordinal data. Reason (R): The median is based on the rank order and is unaffected by the exact magnitude of differences. Choose the correct option:
A. Both A and R are true, and R is the correct explanation of A
B. A is false, R is true
C. A is true, R is false
D. Both A and R are true, but R is not the correct explanation of A
Answer: Option A
Solution (By JKSSB Mock Tests)
For ordinal data, median uses rank, ignoring magnitude, thus it's appropriate. R explains why.

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Practice More Statistics Questions

Question #1
A speaks truth in 70% cases, B in 80% cases. In what percentage of cases are they likely to contradict each other in stating the same fact?
A. 56%
B. 50%
C. 38%
D. 44%

Correct Answer: Option C


Explanation:
Contradiction = P(A truth and B lie) + P(A lie and B truth) = 0.7×0.2 + 0.3×0.8 = 0.14+0.24=0.38=38%.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If (AB)=30, (Aβ)=20, (αB)=10, (αβ)=40, the total number of observations N is:
A. 90
B. 110
C. 100
D. 80

Correct Answer: Option C


Explanation:
N = (AB) + (Aβ) + (αB) + (αβ) = 30+20+10+40 = 100.

This question belongs to: Accountancy and Statistics Statistics
Question #3
In attribute classification, the frequency (αβ) represents units that:
A. Possess the first but not the second
B. Possess neither attribute
C. Possess the second but not the first
D. Possess both attributes

Correct Answer: Option B


Explanation:
Using standard notation, α denotes absence of attribute A, β denotes absence of attribute B; thus (αβ) is the count of units lacking both attributes.

This question belongs to: Accountancy and Statistics Statistics