Allied & ICAR Exam Bank • ALLIED_0096 NAT • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Mean, median, mode and standard deviation

Question Statement:

The median of the dataset $\{3, 7, 8, 5, 12, 14, 21, 13, 18\}$ is:

Answer Key:

8

Step-by-Step Solution & Explanation

Sorted dataset: $\{3, 5, 7, 8, 12, 13, 14, 18, 21\}$. There are $n = 9$ observations. The median is the 5th term, which is $12$. (Wait: 5th term is 12). Let's double check: 3, 5, 7, 8 (4 items) -> 12 (5th item) -> 13, 14, 18, 21 (4 items). The median is 12.
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