Page 135 - Microsoft Word - 00 BA3 IW Prelims STUDENT.docx

Summarising and analysing data

Question 1

Ogives

A cumulative frequency distribution of errors for a department is as follows:

Error value Cumulative frequency

$0 to less than $50 5

$50 to less than $100 8

$100 to less than $150 14

$150 to less than $200 18

$200 to less than $250 20

How many errors were there in total?

How many errors had a value of $100 or over?

How many errors had a value of $50 or over but less than $200?

As the figures are cumulative, 20 is the total number of errors.

Of the 20, 8 were of values less than $100, so 12 are for $100 or over.

Of the 20, 18 were of values less than $200 but of those 18, 5 were of values
less than $50, so only 13 fit the criteria.

129