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Mathematics

The ages of 40 students are given in the following table :

Age (in years)Frequency
122
134
146
159
168
177
184

Find the arithmetic mean.

Measures of Central Tendency

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Answer

Age (x)Frequency (f)fx
12224
13452
14684
159135
168128
177119
18472
TotalΣf = 40Σfx = 614

We know that,

n = Σf = 40.

By formula,

Mean = Σfxn=61440\dfrac{Σfx}{n} = \dfrac{614}{40} = 15.35

Hence, arithmetic mean = 15.35

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