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Measures of Central Tendency — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsMeasures of Central Tendency4 Marks
Question
Give formula for arithmetic mean in individual series by all the methods.
✓

Answer

Direct method: $=\overline{\text{x}}=\frac{1}{\text{n}}\sum\limits^\text{n}_{\text{i}=1}\text{x}_\text{i}$ Short cut Method: Under this method the formula for calculating mean is,$\Rightarrow\overline{\text{x}}=\text{A}+\frac{1}{\text{n}}\sum\limits^\text{n}_{\text{i}=1}\text{d}_\text{i}$
Where A = assumed mean $d_i =$ deviations of items taken Stor from the assumed mean. n = Number of observations Step Deviation Method: Under this method the formula for calculating mean is$\Rightarrow\overline{\text{x}}=\text{A}+\frac{1}{\text{n}}\sum\limits^\text{n}_{\text{i}=1}\text{d}'_\text{i}\times\text{i}$
Where A = assumed mean$\text{d}'_\text{i}=$ deviations of items taken from the assumed mean divided by common factor.
n = Number of observations.

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