The length of 40 leaves of a plant are measured correct to nearest

Q) The length of 40 leaves of a plant are measured correct to nearest millimetre, and the data obtained is represented in the following table:

Find the mean length of the leaves.

Ans:

Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency:

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

Mean value = $(\frac{\sum f_x}{\sum f})$

From above table with rearranged data, we get the following values:

$\sum f_x$ = 5879

$\sum f$ = 40

Therefore, Mean value = $\frac{5879}{40}$ = 146.975 mm

Hence, the mean length of the leaves is 146.975 mm.

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