Find the mean of the following distribution: 10th board past year

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Q) Find the mean of the following distribution:

Ans:

To calculate Mean value of the distribution, Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency:

We know that, mean of grouped data is given by:

Mean of grouped data = $(\frac{\sum f_x}{\sum f})$

Therefore, Mean = $\frac{4110}{100}$ = 41.1

Hence, the mean value of the given distribution data is 41.1

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