The following frequency table shows the demand for a sweet and the number of customers. Find the mode of the demand of sweet.

Answer

The mode of the demand of sweet is `397.06` grams.

Explanation

From the table , we note that the maximum number of customers is in the class `250 - 500`.
Here, `f_(1) = 60`. The modal class is `250 - 500`.
` L = 250, h = 250 , f_(i) = 60, f_(0) = 10, f_(2) = 25`
Mode ` = L + [(f_(i) - f_(i))/(2f_(i) - f_(0) - f_(2))] xx h`
` = 250 + ((60 - 10)/(2 xx 60 - 10 - 25)) xx 250`
` = 250 + (50/(120 - 35))xx 250`
` = 250 + 50/85 xx 250`
` = 250 + (12500)/85 = 250 + 147.06 ` (Approx.)
` :. " Mode " = 397.06`