Question

The production of soyabean per acre, in quintal obtained by 30 farmers in Rajapur, is given below. 9, 7.5, 8, 6, 5.5, 7.5, 5, 8, 5, 6.5, 5, 5.5, 4, 4, 8, 6, 8, 7.5, 6, 9, 5.5, 7.5, 8, 5, 6.5, 5, 9, 5.5, 4, 8. Find the arthematic mean.
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Answer 1

Given:-

Individual production of soyabean by 30 farmers.

To Find:-

Arithematic mean of production of soyabean.

Explanation:-

Individual production of soyabean by farmers is given by:-

9,7.5,8,6,5.5,7.5,5,8,5,6.5,5,5.5,4,4,8,6,8,7.5,6,9,5.5,7.5,8,5,6.5,5,9,5.5,4,8.

Formula of arithematic mean is given by:-

$\bar{x}=\frac{\sum_{i=1}^{n}x_{i}}{n}$

For n=30,

$\bar{x}=\frac{\sum_{i=1}^{30}}{30}\\\\\bar{x}=\frac{9+7.5+8+6+5.5+7.5+5+8+5+6.5+5+5.5+4+4+8+6+8+7.5+6+9+5.5+7.5+8+5+6.5+5+9+5.5+4+8}{30}\\\\\bar{x}=\frac{195}{30}=6.5$

Therefore, arithematic mean of production of soyabean by farmers is 6.5quintal.