Question

A) how many men have a waist measurement of more than 85 cm

b) what is the median waist measurement
c) what is the interquartile range of the waist measurements

Answer 1

A) 29cm

B) 91cm

C) 13cm

Explanation:

Answer 2

(a)29

(b)91cm

(c)13cm

Explanation:

(a)From the graph, 11 men have a waist measurement of 85cm and below.

Since the cumulative frequency is 40

Number of men who have a waist measurement of more than 85 cm

`=40-11\\=29`

(b)Median

`\text{Median}=(N)/(2)\\N=40\\Median=(40)/(2)=20th$ item`

Tracing 20 from the y-axis to the x-axis, the median waist measurement is 91cm.

(c)Interquartile Range

Interquartile Range =
`Q_3-Q_1`

`Q_1=(N)/(4)=(40)/(4)=10th$ item`

From the graph, at y=10, x=84 cm

`Q_3=(3N)/(4)=(3*40)/(4)=30th$ item`

From the graph, at y=30, x=97 cm

Therefore:

Interquartile Range=97-84=13cm