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The Following Table Shows the Income of Farmers in a Grape Season. Find the Mean of Their Income. - Algebra

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प्रश्न

The following table shows the income of farmers in a grape season. Find the mean of their income. 

Income
(Thousand Rupees)
20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80
Farmers 10 11 15 16 18 14
योग

उत्तर

Class
(Income in thousand rupees)
Class Mark
xi
Frequency
(Number of farmers)
fi
Class mark × Frequency
xifi
20 - 30 25 10 250
30 - 40 35 11 385
40 - 50 45 15 675
50 - 60 55 16 880
60 - 70 65 18 1170
70 - 80 75 14 1050
    \[\sum_{} f_i = 84\] \[\sum_{} x_i f_i = 4410\]

Mean = \[\frac{\sum_{} x_i f_i}{\sum_{} f_i}\]
= `4410/84`

= 52 . 5 thousand rupees

= 52500

Hence, the mean of the income is Rs 52500.

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अध्याय 6: Statistics - Miscellaneous Problems 6 [पृष्ठ १६५]

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