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

Checking understanding of summary statistics from a list

Checking understanding of summary statistics from a frequency table

Calculating summary statistics from a grouped frequency table

Calculating the mean from a grouped frequency table

Constructing stem and leaf diagrams

Calculating summary statistics from stem and leaf diagrams

Checking understanding of measures of central tendency

Comparing data sets in context

Checking understanding of bar charts and pictograms

Checking understanding composite and bar-line charts

Statistical summaries using technology

Checking understanding of pie charts

Comparing various representations of data sets

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.

In this unit pupils will compare two different data sets and compare different measures of central tendancy when interpreting the data. Pupils will learn to interrogate frequency tables and stem and leaf diagrams both with and without technology.

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.

Problem solving with comparisons of numerical data

Lesson outcome