Cambridge International Mathematics

358 Continuous data (Chapter 17)

a Histogram showing cross-country times b The modal class is 266 t< 31.

c Middle value (x) Frequency (f)

21 : 5 27

24 : 5 51

28 : 5 100

36 75

The mean¼ 29 : 2 mins.

EXERCISE 17B

1 Students were asked to draw a sketch of their favourite fruit. The time taken (tmin) was measured for

each student, and the results summarised in the table below.

Time (tmin) 06 t< 2 26 t< 4 46 t< 8 86 t< 12

Frequency 10 15 30 60

a Construct a histogram to illustrate the data.

b State the modal class.

c Use a graphics calculator to estimate the mean time.

2

a Represent this data on a histogram.

b Find the modal class.

c

3

Distance (dm) 206 d< 25 256 d< 35 356 d< 45 456 d< 55 556 d< 85

Frequency 15 30 35 25 15

a Draw a histogram of the data.

b What is the modal class?

c

4

10 20 30 40 50 60

time ( min)t

frequency density

Travel times to work

0

Use a graphics calculator to estimate

the mean distance thrown.

The histogram shows the times spent travelling to

work by a sample of employees of a large corporation.

Given that people took between and minutes

to get to work, find the sample size used.

60 10 20

Use technology to estimate the mean mass.

A group of students was asked to throw a baseball as far as they could in a given direction. The results

were recorded and tabled. They were:

Mass (mkg) 406 m< 50 506 m< 60 606 m< 65 656 m< 70 706 m< 80

Frequency 25 75 60 70 30

When the masses of people in a Singapore fitness club were measured, the results were:

0

5

10

15

20

20 22 24 26 28 30 32 34 36 38 40

time ( min)t

frequency density

key represents

10 students

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Y:\HAESE\IGCSE01\IG01_17\358IGCSE01_17.CDR Tuesday, 18 November 2008 11:49:41 AM PETER