Given the data set of students' scores: 7, 12, 19, 25, 34, 44, 48, find the range of the data and the median. Explain what these measures tell us about the distribution of the scores.

medium 4 marks Class 6 · Mathematics · Data Handling

Answer

Range = 41, Median = 25

The correct answer is Range = 41, Median = 25 — Interpretation: The range of $41$ shows a wide spread of scores, while the median of $25$ indicates that half the students scored below $25$ and half scored above. This suggests a moderate central tendency with considerable variability.

Step-by-step solution

Order the data in ascending order (already ordered).
Find the minimum value: $7$ and the maximum value: $48$ .
Calculate the range: $48 - 7 = 41$ .
With $7$ numbers, the median is the $4^{t h}$ value in the ordered list: $25$ .
Interpretation: The range of $41$ shows a wide spread of scores, while the median of $25$ indicates that half the students scored below $25$ and half scored above. This suggests a moderate central tendency with considerable variability.

Common mistake: Not sorting the data before finding the median

Concept tested: Range and Median

Published 1 October 2026 · How this solution was prepared and checked

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