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
[tex]=40-11\\=29[/tex]
(b)Median
[tex]\text{Median}=\dfrac{N}{2}\\N=40\\Median=\dfrac{40}{2}=20th$ item[/tex]
Tracing 20 from the y-axis to the x-axis, the median waist measurement is 91cm.
(c)Interquartile Range
Interquartile Range = [tex]Q_3-Q_1[/tex]
[tex]Q_1=\dfrac{N}{4}=\dfrac{40}{4}=10th$ item[/tex]
From the graph, at y=10, x=84 cm
[tex]Q_3=\dfrac{3N}{4}=\dfrac{3*40}{4}=30th$ item[/tex]
From the graph, at y=30, x=97 cm
Therefore:
Interquartile Range=97-84=13cm
