New
New
Year 10
Higher

Problem solving with comparisons of numerical data

I can use my understanding of graphs and summary statistics to solve more complex problems.

New
New
Year 10
Higher

Problem solving with comparisons of numerical data

I can use my understanding of graphs and summary statistics to solve more complex problems.

Lesson details

Key learning points

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

Common misconception

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.

Keywords

  • 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.

Consider asking pupils to find examples of charts used in the media. They can work in pairs to analyse the charts and see what, if any, claims can be made from it.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Loading...

6 Questions

Q1.
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
Correct answer: scatter graph
Q2.
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?
An image in a quiz
The median annual income generally decreased from 1980 to 2020.
Correct answer: The median annual income generally increased from 1980 to 2020.
The median annual income generally stayed the same from 1980 to 2020.
Q3.
What type of correlation can be seen in the scatter graph?
An image in a quiz
Correct answer: negative correlation
no correlation or association
positive correlation
Q4.
The pictogram shows how many merits Jun received each week at school. In week 3 Jun received merits.
An image in a quiz
Correct Answer: 29, twenty nine
Q5.
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?
An image in a quiz
More pupils walk to school in Oakfield Academy than in Rowanwood School.
More pupils walk to school in Rowanwood School than in Oakfield Academy.
Correct answer: You cannot compare frequencies between schools using this visual representation.
Q6.
The bar chart shows the number of cars parked on driveways in a particular street. Altogether cars are parked.
An image in a quiz
Correct Answer: 17, seventeen

6 Questions

Q1.
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?
An image in a quiz
Correct Answer: 2017
Q2.
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?
An image in a quiz
Correct Answer: 2007
Q3.
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?
An image in a quiz
Job A
Correct answer: Job B
Job C
You cannot compare proportions using this visual representation.
Q4.
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?
An image in a quiz
A
Correct answer: B
C
D
Q5.
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?
An image in a quiz
A
B
Correct answer: C
D
Q6.
The pictogram shows the number of apples picked in an orchard over a three week period. Altogether apples were picked in the three weeks.
An image in a quiz
Correct Answer: 280, two hundred and eighty