A student’s marks in five subjects are 25, 26, 27, 28, and 29. In this data set, which measure(s) of central tendency is 27?

Introduction / Context:We compare the mean, median, and mode for a small, ordered data set.

Given Data / Assumptions:

• Data: 25, 26, 27, 28, 29 (distinct values).
• All observations have equal weight.

Concept / Approach:Median is the middle value in ordered data; mean is the arithmetic average; mode is the most frequent value.

Step-by-Step Solution:Median = middle of five numbers = 27.Mean = (25 + 26 + 27 + 28 + 29) / 5 = 135 / 5 = 27.Mode: none (all values occur once), so 27 is not the mode.

Verification / Alternative check:Symmetry around 27 makes it both mean and median.

Why Other Options Are Wrong:“Mode” or “Median and Mode” are incorrect because the distribution has no mode; “Median” alone omits the mean; “Mean” alone omits the median.

Common Pitfalls:Assuming a mode exists just because a central number looks typical.

Final Answer:Mean and Median