Averages are used in everyday life to give us information about a set of numerical data, give an overview of the values seen and tell us the most common outcome. Range measures the spread of the data.

A science project about flowers involves pupils counting the number of petals on different flowers in their gardens. One pupil's results are as follows: 8, 3, 11, 5, 6, 9, 8, 4, 8, 12, 4

What is the mode number of petals on each flower?

7.5

4

8

Some friends are comparing the number of footballs they have at home. They have: 1, 0, 4, 1, 3, 2, 6, 2, 1

What is the median number of footballs?

2

1

3

The 5 highest summits in the Brecon Beacons are as follows:

886 m, 873m, 795m, 769 m and 754 m

What is the mean height of these summits, to the nearest metre?

795 m

815 m

132 m

What is the mean number of siblings in a class at school?

6

1.5

Using the mean, compare the maths results of classes X1 and Y1. Which class performed better?

X1 performed better

Y1 performed better

You can’t tell

Questions 6 – 10 are for Intermediate and Higher tier

Find the mean, mode and median of a group of people's shoe sizes and determine which one is the least representative.

1, 5, 4, 7, 1, 12, 8, 6, 1, 5

Median

Mode

Mean

20 dogs compete in an agility competition. Before they are allowed to compete they are weighed. The results are as shown:

What is the modal class?

19 – 24

5 – 9

What is the median number of calories eaten by this group of friends?

\[{2,000}~\leq~{c}~\textless~{2,250}\]

\[{1,750}~\leq~{c}~\textless~{2,000}\]

2,125 kcal

20 babies are born in a hospital in one day. What is the mean weight of the babies?

6 lbs

4.5 lbs

7.5 lbs

Use the range and median to compare the results of classes X1 and Y1. Which class performed better?

They performed the same

X1

Y1