A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.

A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

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

Problem solving with comparisons of numerical data

Maths

In this unit, pupils began to compare two different sets of data. In the future unit, pupils will consider cumulative frequency graphs and histograms and compare the data from these diagrams to other graphical representations.

In the prior unit, pupils considered the mean, median and mode and evaluated their usefulness in a variety of contexts. In this unit, pupils extend this learning to comparing two different data sets and comparing these measures of central tendency.

Comparisons of numerical summaries of data

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?

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?

You cannot compare proportions using this visual representation.

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?

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?

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?

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

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

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.

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?

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

The pictogram shows how many merits Jun received each week at school. In week 3 Jun received {{ }} merits.

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.

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?

The bar chart shows the number of cars parked on driveways in a particular street. Altogether {{ }} cars are parked.

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