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# Alpha United

The**mode** is the most common number of goals scored per match.

On the bar chart, this will be the tallest bar:

Mode number of goals = 3

The**mode** is the most common number of goals scored per match.

On the pie chart, this will be the 'fattest' wedge:

Mode number of goals = 3

The**median** is the middle value, when the data are in order.

The pie charts begin from 0 goals, and the number of goals increases in an anticlockwise direction, so the pie charts show the data in order.

After 180$^\circ$, the middle value is reached, so the wedge that the 180$^\circ$ line lands in is the median.

Median number of goals = 2

**Working out the median from the bar charts**

The median is the middle value, when the data is in order. Alpha United played 15 matches, so the middle match is the 8th-lowest-scoring match (which is also the 8th-highest-scoring match), since 7 + 1 + 7 = 15.

So to find the median, we need to find the 8th lowest-scoring match on the bar chart.

Alpha United scored 0 goals in 3 matches, so those are matches number 1, 2, 3.

They scored 1 goal per match in 3 matches, so those are matches 4, 5 and 6.

They scored 2 goals per match in 2 matches, so those are matches 7 and 8.

So they scored 2 goals in their 8th-lowest-scoring match, so the median is 2.

We can check this, because they scored 3 goals per match in 5 matches and 4 goals per match in 2 matches. 5 + 2 = 7. So they scored more than 2 goals in 7 matches, so the 8th-lowest-scoring match is also the 8th-highest-scoring match.

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Age 11 to 14

ShortChallenge Level

- Problem
- Solutions

The

On the bar chart, this will be the tallest bar:

Mode number of goals = 3

The

On the pie chart, this will be the 'fattest' wedge:

Mode number of goals = 3

The

The pie charts begin from 0 goals, and the number of goals increases in an anticlockwise direction, so the pie charts show the data in order.

After 180$^\circ$, the middle value is reached, so the wedge that the 180$^\circ$ line lands in is the median.

Median number of goals = 2

The median is the middle value, when the data is in order. Alpha United played 15 matches, so the middle match is the 8th-lowest-scoring match (which is also the 8th-highest-scoring match), since 7 + 1 + 7 = 15.

So to find the median, we need to find the 8th lowest-scoring match on the bar chart.

Alpha United scored 0 goals in 3 matches, so those are matches number 1, 2, 3.

They scored 1 goal per match in 3 matches, so those are matches 4, 5 and 6.

They scored 2 goals per match in 2 matches, so those are matches 7 and 8.

So they scored 2 goals in their 8th-lowest-scoring match, so the median is 2.

We can check this, because they scored 3 goals per match in 5 matches and 4 goals per match in 2 matches. 5 + 2 = 7. So they scored more than 2 goals in 7 matches, so the 8th-lowest-scoring match is also the 8th-highest-scoring match.

You can find more short problems, arranged by curriculum topic, in our short problems collection.