QJEEM19Madd8a: JEE Main 2019 Mathematics - Class 11 JEEM19Madd8a Solution: If the sum of the deviations of 50 observations from 30 is 50,…

Question

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If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :

Accepted Answer

\sum\limits_{i = 1}^{50} {\left( {{x_i} - 30} \right) = 50}

\sum {{x_i}} = 50 \times 30 = 50

\sum {{x_i}} = 50 + 50 + 30

Mean

= \overline x = {{\sum {{x_i}} } \over n} = {{50 \times 30 + 50} \over {50}}

= 30 + 1 = 31

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