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Given the scores 60, 70, 70, 80, 80, 80, 90, 90, 90, 90 of 10 students, find the median, mode and range.

medium 4 marks Class 6 · Mathematics · Data Handling
Answer
median 80, mode 90, range 30

The correct answer is median 80, mode 90, range 30 — Hence median 80, mode 90, range 30.

Step-by-step solution

  1. Arrange the scores in increasing order: 60,70,70,80,80,80,90,90,90,90.
  2. With 10 scores, the median is the average of the 5th and 6th values: (80+80)/2=80.
  3. Count the frequencies: 60(1),70(2),80(3),90(4). The highest frequency is 4 for 90, so mode is 90.
  4. The range is the difference between the highest and lowest scores: 90-60=30.
  5. Hence median 80, mode 90, range 30.
Common mistake: Using the 6th value as the median in an even‑sized data set

Concept tested: Median, mode and range of a data set

Published · How this solution was prepared and checked

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