Problem solving with comparisons of numerical data | Starter Quiz | Oak National Academy

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

Answer explanation

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

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.

Answer explanation

The time series graph shows that the median annual income generally increased from 1980 to 2020.

What type of correlation can be seen in the scatter graph?

• negative correlation

• no correlation or association

• positive correlation

Answer explanation

The scatter graph shows a negative correlation.

The pictogram shows how many merits Jun received each week at school. In week 3 Jun received (a)   merits.

Answer explanation

Jun received 29 merits in week 3, which can be found by working out 7 × 4 + 1.

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.

Answer explanation

A greater proportion of Oakfield Academy walk to school than Rowanwood School. But Rowanwood School might have more pupils altogether than Oakfield Academy. So, 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 (a)   cars are parked.

Answer explanation

There were 12 cars altogether, which can be calculated by working out 21 × 0 + 8 × 1 + 3 × 2 + 1 × 3.