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

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