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10 grade maths

For grouped data, Arithmetic mean by direct method: -(a) SfX / Sf(b) Sd / N(c) SX / N(d) None of these

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

For grouped data, the arithmetic mean by the direct method is calculated using the formula:

Arithmetic mean (X̄) = Σ(fX) / Σ(f)

where:

X̄ represents the arithmetic mean.
f represents the frequency of each class.
X represents the mid-value of each class interval.
Given the options:
(a) SfX / Sf
(b) Sd / N
(c) SX / N
(d) None of these

Among the options, option (a) SfX / Sf is the correct formula for calculating the arithmetic mean by the direct method for grouped data. It involves multiplying the frequency of each class (f) by the corresponding mid-value of the class (X), and then summing up these products (Σ(fX)). This sum is divided by the total frequency (Σ(f)) to obtain the arithmetic mean.

So, the correct answer is:

(a) SfX / Sf





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