Find the median of the data set: 2, 4, 6, 8, 10, 12, 14.

Difficulty: Easy

Correct Answer: 8

Explanation:


Introduction / Context:
The median is the middle value in an ordered data set. For odd-sized samples, it is the central observation.



Given Data / Assumptions:

  • Ordered data (n = 7): 2, 4, 6, 8, 10, 12, 14.


Concept / Approach:
With 7 values, the 4th value is the median.



Step-by-Step Solution:
Indexing from 1: the 4th value is 8.



Verification / Alternative check:
Equal number of observations on either side (three below and three above).



Why Other Options Are Wrong:
6 and 10 are adjacent but not central; 9.5 would be the median for an even-sized data set between 9 and 10, not applicable here.



Common Pitfalls:
Confusing mean and median; the mean here is also 8 but that is coincidental due to symmetry.



Final Answer:
8

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