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Using the information given in the adjoining histogram, calculate the mean correct to one decimal place.

Using the information given in the adjoining histogram, calculate the mean correct to one decimal place. Measures of Central Tendency, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Measures of Central Tendency

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Answer

We construct the following table :

Class intervalClass mark (yi)Frequency (fi)fiyi
20 - 3025375
30 - 40355175
40 - 504512540
50 - 60559495
60 - 70654260
Total331545

∴ Mean = fiyifi=154533\dfrac{∑fiyi}{∑f_i} = \dfrac{1545}{33} = 46.8

Hence, mean of the following distribution is 46.8

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