In the mode formula, the symbol f₀ stands for the frequency of ____.

Class 10StatisticsStatistics and Probability

Step-by-Step Solution

f₀ is the frequency of the class preceding the modal class; f₁ is the modal class frequency and f₂ the following class frequency.

Answer: A) the class just before the modal class

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

**Mode formula**:
**Mode =

l + h \times (f

₁ −

f

₀) /

(2 f

₁ −

f

₀ −

f

₂)**

Where:
-

l

= lower limit of modal class
-

h

= class width
-

f

₁ = frequency of modal class
-

f

₀ = frequency of class BEFORE modal class
-

f

₂ = frequency of class AFTER modal class

**Example**: Modal class 30–40 with

f

₁ = 12,

f

₀ = 5,

f

₂ = 8.

l = 30, h = 10

.
Mode =

30 + 10 \times (12 - 5) / (24 - 5 - 8) = 30 + \frac{70}{11}

≈ 36.36.

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