Question

The weight of coffee in 70 packets are shown in the following table:

Weight (in g)	Number of packets
200 – 201	12
201 – 202	26
202 – 203	20
203 – 204	9
204 – 205	2
205 – 206	1

Determine the modal weight.

Answer 1

In the given data, the highest frequency is 26, which lies in the interval 201 – 202

Here, l = 201, f_m = 26, f₁ = 12, f₂ = 20 and (class width) h = 1

∴ Mode = `l + ((f_m - f_1)/(2f_m - f_1 - f_2)) xx h`

= `201 + ((26 - 12)/(2 xx 26 - 12 - 20)) xx 1`

= `201 + (14/(52 - 32))`

= `201 + 14/20`

= 201 + 0.7

= 201.7 g

Hence, the modal weight is 201.7 g.