wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Percentiles and cumulative frequency practice

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored the same or worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

2.
The 75th percentile is also know as the
a)
median
b)
third quartile
c)
1st quartile`
d)
interquartile range
3.

The Median is also referred to as

a)

the 25th Percentile

b)

the 50th Percentile

c)

the 75th Percentile

d)

the 100th Percentile

4.

Connor does a survey on how much money 100 people spend over the Christmas period.

The results have been plotted on a cumulative frequency diagram.

Estimate the value of the 30th percentile.

a)

£ 24

b)

£ 20

c)

£ 30

d)

£ 28

5.

Connor does a survey on how much money 100 people spend over the Christmas period.

The results have been plotted on a cumulative frequency diagram.

Use the cumulative frequency diagram to estimate the number of people who spent over £50 during the Christmas period. write your answer as a figure only.

(a)  

6.

Eve collects information on the household spending per day for 100 families. The information has been summarised in the cumulative frequency diagram below.

How many families spend greater than £25, but lower than £45, per day?

a)

52 families

b)

32 families

c)

84 families

d)

41 families

7.

Eve collects information on the household spending per day for 100 families. The information has been summarised in the cumulative frequency diagram below.

The 70th percentile is £ (a)  

Write you answer as a figure.

8.

A TV company surveyed 88 of its employees to find out how much time they spend travelling to work on a given day. The results of the survey are shown in the following cumulative frequency diagram.


Estimate the 50th Percentile

a)

42 minutes

b)

34 minutes

c)

29 minutes

d)

49 minutes

9.

A TV company surveyed 88 of its employees to find out how much time they spend travelling to work on a given day. The results of the survey are shown in the following cumulative frequency diagram.


Calculate the interquartile range.

a)

15 minutes

b)

20 minutes

c)

10 minutes

d)

25 minutes

10.

A TV company surveyed 88 of its employees to find out how much time they spend travelling to work on a given day. The results of the survey are shown in the following cumulative frequency diagram.


Only 10% of the employees spent less than K minutes travelling to work. Find the value of K.

a)

K =15 minutes

b)

K = 20 minutes

c)

K = 10 minutes

d)

K = 25 minutes

11.

This cumulative frequency graph shows the speeds in kmh-1 of cyclists passing a certain point on a race track.


Find the median speed of the cyclists.

a)

21 kmh-1

b)

19 kmh-1

c)

30 kmh-1

d)

15 kmh-1

12.

This cumulative frequency graph shows the speeds in kmh-1 of cyclists passing a certain point on a race track.


Write down the 65th percentile

a)

21 kmh-1

b)

20 kmh-1

c)

30 kmh-1

d)

15 kmh-1

13.

Estimate how many balls had a weight of less than 80 g.

Write the figure only

(a)  

14.

Estimate how many balls had a weight of 130 g or more.

a)

78

b)

22

c)

11

d)

32

15.

The diagram shows a cumulative frequency curve for the percentage scored by the students of a primary school in their end of year maths test.

Many of the students complained about how hard it was.

What is the median score?

a)

30%

b)

35%

c)

50%

d)

20%