Question

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

Weight of sweet (gram)	0 - 250	250 - 500	500 - 750	750 - 1000	1000 - 1250
No. of customers	10	60	25	20	15

Answer 1

The maximum class frequency is 60.
The class corresponding to this frequency is 250 - 500.
So, the modal class is 250 - 500.
L (the lower limit of modal class) = 250
f₁ (frequency of the modal class) = 60
f_o (frequency of the class preceding the modal class) = 10
f₂ (frequency of the class succeeding the modal class) = 25
h (class size) = 250
Mode = $L+\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)\times h$
$=250+\left(\frac{60-10}{2\times 60-10-25}\right)\times 250$
= 250 + 147.06
= 397.06
Hence, the modal demand of sweet is 397.06 grams.