- A₁−₀)/₁−₀−₂)
- B
- CΣ(fx) / Σf
- Da + h · Σ(fu)/Σf
Step-by-Step Solution
Mode = ₁−₀)/₁−₀−₂). The second is the median formula, the third is the direct mean, the fourth is the step-deviation mean.
Answer: A) ₁−₀)/₁−₀−₂)
Which formula correctly gives the MODE of grouped data?
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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