- A8
- B16
- C9
- D7
Step-by-Step Solution
Marks 12,14,16,18,20,22,24. Σ. Σfx = . Mean: → → → .
Answer: A) 8
The mean of the following data is 18. Class 11–13:3, 13–15:6, 15–17:9, 17–19:13, 19–21:f, 21–23:5, 23–25:4. Using mean = 18, the missing frequency f is ____.
Class 10StatisticsStatistics and Probability
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.
**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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