Question

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

Answer 1

Answer:

(a)29

(b)91cm

(c)13cm

Step-by-step 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

$\text{Median}=\dfrac{N}{2}\\N=40\\Median=\dfrac{40}{2}=20th item$

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

(c)Interquartile Range

Interquartile Range = $Q_3-Q_1$

$Q_1=\dfrac{N}{4}=\dfrac{40}{4}=10th item$

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

$Q_3=\dfrac{3N}{4}=\dfrac{3*40}{4}=30th item$

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

Therefore:

Interquartile Range=97-84=13cm