- ASize 6
- BSize 7
- CSize 9
- DSize 12
Step-by-Step Solution
Count each size: 5 → 2, 6 → 3, 7 → 4, 8 → 2, 9 → 1. Size 7 occurs most often (4 times), so the mode is size 7.
Answer: B) Size 7
A shopkeeper in Agra put these shoes on the rack; the number on each shoe is its size. Which shoe size is the mode?
Class 7Data HandlingData Handling
Key idea: Mode — the most common
The **mode** is the value with the highest frequency. Count occurrences:
- 2, 3, 3, 5, 7 → mode = 3 (appears twice).
- 1, 1, 2, 2, 3 → two modes: 1 and 2 (bimodal).
- 1, 2, 3, 4, 5 → no mode (all distinct).
Mode is the only 'average' that works for non-numeric data (e.g. most common shoe colour).
- 2, 3, 3, 5, 7 → mode = 3 (appears twice).
- 1, 1, 2, 2, 3 → two modes: 1 and 2 (bimodal).
- 1, 2, 3, 4, 5 → no mode (all distinct).
Mode is the only 'average' that works for non-numeric data (e.g. most common shoe colour).
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