Cambridge International Mathematics

366 Continuous data (Chapter 17)

6 In a one month period at a particular hospital the lengths of newborn

babies were recorded. The results are shown in the table given.

a Represent the data on a frequency histogram.

b How many babies are 52 cm or more?

c What percentage of babies have lengths in the interval

50 cm 6 l< 53 cm?

d Construct a cumulative frequency distribution table.

e Represent the data on a cumulative frequency graph.

f Use your graph to estimate the:

i median length

ii number of babies with length less than 51 : 5 cm.

Frequency

486 l< 49 1

496 l< 50 3

506 l< 51 9

516 l< 52 10

526 l< 53 16

536 l< 54 4

546 l< 55 5

556 l< 56 2

Length ( cm)l

3 The table below displays the distances jumped by 50 year 10 students in a long jump competition:

a Display this information on a histogram.

b What is the modal class?

4 The histogram alongside shows the areas of land

blocks on a street. If 20 land blocks were between

300 m^2 to 500 m^2 in size:

a construct a frequency table for the data

b

5 The percentage scores in a test were recorded. The

results were categorised by gender.

a Draw the cumulative frequency graphs for boys

and girls on the same set of axes. Use percentiles

on the vertical axis.

b Estimate the median and interquartile range of

each data set.

c Compare the distributions.

300 500 700 900 1100

frequency density

area (mX)

Distance (dm) 36 d< 4 46 d< 5 56 d< 5 : 5 5 : 56 d< 6 66 d< 7

Frequency 8 16 12 9 5

Frequency

(boys)

Percentage

score (s)

Frequency

(girls)

5 06 s< 10 0

8 106 s< 20 4

12 206 s< 30 8

10 306 s< 40 10

30 406 s< 50 15

50 506 s< 60 25

20 606 s< 70 40

10 706 s< 80 10

5 806 s< 90 5

0 906 s< 100 3

estimate the mean area.

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y:\HAESE\IGCSE01\IG01_17\366IGCSE01_17.CDR Thursday, 23 October 2008 12:37:16 PM PETER