Cambridge International Mathematics

(Tina Sui) #1

Continuous data


17


Contents:

A The mean of continuous data [11.5]
B Histograms [11.6]
C Cumulative frequency [11.7]

Opening problem
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Rainfall (rmm) Frequency
506 r< 60 7
606 r< 70 20
706 r< 80 32
806 r< 90 22
906 r< 100 9
Total 90

Andriano collected data for the rainfall from the last month for 90
towns in Argentina. The results are displayed in the frequency table
alongside:

Things to think about:
² Is the data discrete or continuous?
² What does the interval 606 r< 70 actually mean?
² How can the shape of the distribution be described?
² Is it possible to calculate the exact mean of the data?

Examples of continuous numerical variables are:

The height of year
10 students:

the variable can take any value from about 100 cm to 200 cm.

The speed of cars on
a stretch of highway:

the variable can take any value from 0 km/h to the fastest speed that a car can
travel, but is most likely to be in the range 50 km/h to 150 km/h.

In we saw that a can theoretically take any value on part of
the number line. A continuous variable often has to be so that data can be recorded.

Chapter 13 continuous numerical variable
measured

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