The mean of a data set is 50 and the median is 52. Using the empirical relation, the approximate mode is: MCQ with Answer and Explanation

The mean of a data set is 50 and the median is 52. Using the empirical relation, the approximate mode is:
A. 54
B. 48
C. 44
D. 56
Answer: Option D
Solution (By JKSSB Mock Tests)
Mode ≈ 3Median - 2Mean = 3×52 - 2×50 = 156 - 100 = 56.

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Practice More Statistics Questions

Question #1
The class midpoint is also known as:
A. Class limit
B. Class frequency
C. Class mark
D. Class interval

Correct Answer: Option C


Explanation:
Class mark = (lower limit + upper limit)/2.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Perinatal mortality rate per 1000 total births is 35. If there were 700 late fetal deaths and early neonatal deaths combined, the number of total births (live births + stillbirths) is:
A. 20,000
B. 35,000
C. 24,500
D. 2,000

Correct Answer: Option A


Explanation:
Rate = (perinatal deaths / total births) × 1000 => 35 = 700 / total births × 1000 => total births = 700,000/35 = 20,000.

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Question #3
Which of the following statements about Laspeyres and Paasche indices is correct?
A. Laspeyres index tends to understate price increase, Paasche overstates.
B. Laspeyres uses current period quantities, Paasche uses base period quantities.
C. Fisher's index is the geometric mean of Laspeyres and Paasche.
D. Paasche index satisfies the time reversal test.

Correct Answer: Option C


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Fisher = √(L×P). L uses base quantities, P uses current quantities. L overstates, P understates. Neither L nor P satisfies time reversal.

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