Problem solving with comparisons of numerical data | Maths

Starter quiz

A __________ is a visual representation for bivariate data. It can be useful when determining the nature of the relationship between the variables.

bar chart

line graph

pie chart

pictogram

scatter graph ✓
The time series below shows data from the ONS about the average annual income per person each year. Based on this graph, which statement is true?

The median annual income generally decreased from 1980 to 2020.

The median annual income generally increased from 1980 to 2020. ✓

The median annual income generally stayed the same from 1980 to 2020.
What type of correlation can be seen in the scatter graph?

negative correlation ✓

no correlation or association

positive correlation
The pictogram shows how many merits Jun received each week at school. In week 3 Jun received ______ merits.

'29' ✓
Two schools were asked how many of their pupils walk to school. The results for each school are represented in the pie charts. Which statement is true?

More pupils walk to school in Oakfield Academy than in Rowanwood School.

More pupils walk to school in Rowanwood School than in Oakfield Academy.

You cannot compare frequencies between schools using this visual representation. ✓
The bar chart shows the number of cars parked on driveways in a particular street. Altogether ______ cars are parked.

'17' ✓

The time series graph shows data from the ONS. During which year did the average monthly rent in East Midlands become more expensive than in Yorkshire?

'2017' ✓
The time series graph shows data from the ONS about house prices from 2005 to 2013. During which year was the average house price at its highest, during this period?

'2007' ✓
The pie charts show the employment status of workers in three different jobs. Which job has the greatest proportion of workers who are employed full-time?

Job A

Job B ✓

Job C

You cannot compare proportions using this visual representation.
The scatter graph shows data from the ONS about jobs. Which point represents someone who works a relatively low number of hours but earns a relatively high amount of money?

A

B ✓

C

D
The scatter graph shows data from the ONS about jobs. Which point represents someone who works a relatively high number of hours but earns a relatively low amount of money?

A

B

C ✓

D
The pictogram shows the number of apples picked in an orchard over a three week period. Altogether ______ apples were picked in the three weeks.

'280' ✓

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When presented with a large volume of data, valid interpretation can be hard.
It is important that any conclusions are supported by the data.
In the real world, multiple representations are often used so critiquing them is a vital skill.

Claims can be made based on the data displayed in a chart.

A claim is only valid for the particular selection of data shown. This can mean that any conclusions are very limited.

Bar chart - A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.
Pie chart - A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.
Scatter graph - A scatter graph is a visual representation for bivariate data. It can be useful when determining the nature of the relationship between the variables.