When handling data in KS3 Maths you'll come across two distinct types - quantitative and qualitative. Qualitative data refers to things with no numerical value, such as colours, gender, favourite films etc. Quantitative data is data which can be represented by a number, such as the number of people with red hair, the number of males or females in a school or the number of people who liked the latest *Star Wars* film.

In addition, there are two types of quantitative data; countable (discrete) and measurable (continuous). Discrete data will always give you a whole number (how many children like apples, for example. You'll never get half a person!). Measurable data may very well give you fractions (how tall is that building? 11.37 metres). Do you see the difference? You need to recognise and know how to deal with these different types of quantitative data.

Try the following quiz to acquaint yourself with discrete and continuous quantitative data. Good luck!

1.

If data can only take certain numerical values it is called discrete. Which of these types of data is discrete?

The colour of an apple

The number of pips in an apple

The volume (in cm^{3}) of an apple

The weight (in g) of an apple

An apple only has half a pip if it's been cut in half

2.

If data can be measured against a scale it is called continuous. Which of these types of data is continuous?

The beds in wards of a town's hospital

The heights of buildings in a town

The names of roads in a town

The number of pupils in a town's schools

Height can be measured against a continuous scale

3.

Adults responding to a survey are asked to choose their age group from these: 18-25, 25-40, 40-60, over 60. What is wrong with this choice?

No ages below 18

Age group intervals are all different

Intervals overlap

'Over 60' is too vague

Adults are 18 or over. Someone aged 25 or 40 wouldn't know which box to tick

4.

Which of these can be read from a grouped frequency table of children's heights (h cm) recorded in 10cm intervals?

Heights of individual children

The height range

The median height

The modal height interval

As the heights are grouped into 10cm intervals we do not know any of the heights exactly and therefore can't find out the range, median or any individual hights

5.

The frequency recorded in the interval 130 < h ≤ 140 is 5. This means that five children are .......

at least 130cm tall

less than 140cm tall

135cm tall

over 130cm and up to 140cm tall

< means that they are more than 130cm tall and ≤ means they are less than or equal to 140cm tall

6.

Which of these intervals would include a height of 130cm?

125 ≤ h < 130

130 < h ≤ 140

120 < h ≤ 130

h >130

The sign ≤ means 'less than or equal to'

7.

The contents of seed packets are recorded to the nearest 10. A pack with 43 seeds is recorded as having .......

30 seeds

35 seeds

40 seeds

45 seeds

This is simple rounding down

8.

A packet of 50 seeds (to the nearest 10) will contain at least .......

44 seeds

45 seeds

54 seeds

55 seeds

45 is the lowest number that can be rounded up to 50

9.

The contents of 20 packets of seeds (to the nearest 10) are: 5 x 30, 9 x 40, 5 x 50, 1 x 60. What is the best estimate for the total number of seeds in these packs?

630

750

820

940

(5 x 30) + (9 x 40) + (5 x 50) + (1 x 60)

10.

The contents of 20 packets of seeds (to the nearest 10) are: 5 x 30, 9 x 40, 5 x 50, 1 x 60. What is the best estimate for the mean (average) contents of these seed packets?

41

42

43

44

820 / 20 = 41

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