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In a survey of 30 households, the number of members per household is: 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9. Find the mode.

medium 2 marks Class 10 · Mathematics · Statistics
Answer
Mode = 6

The correct answer is Mode = 6 — Hence the mode is 6.

Step-by-step solution

  1. Create a frequency table for each household size.
  2. Count frequencies: 1→1, 2→2, 3→3, 4→4, 5→5, 6→6, 7→4, 8→3, 9→2.
  3. Identify the highest frequency, which is 6 for the value 6.
  4. Hence the mode is 6.
Common mistake: Choosing the smallest or largest value instead of the one with maximum frequency

Concept tested: Mode of ungrouped data

Published · How this solution was prepared and checked

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