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The histogram shows the ages of people at a health camp, with each frequency written on its bar. Find the modal class, then the mode using .

Class 10StatisticsStatistics and Probability
  • A50 years
  • B52 years
  • C48 years
  • D46 years

Step-by-Step Solution

Modal class . Mode .
Answer: B) 52 years

Key idea: Mode for grouped data

**Modal class**: class with HIGHEST frequency.

**Mode formula**:
**Mode = ₁ − ₀) / ₁ − ₀ − ₂)**

Where:
- = lower limit of modal class
- = class width
- ₁ = frequency of modal class
- ₀ = frequency of class BEFORE modal class
- ₂ = frequency of class AFTER modal class

**Example**: Modal class 30–40 with ₁ = 12, ₀ = 5, ₂ = 8. .
Mode = ≈ 36.36.

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