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Data Visualization Techniques

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Data Visualization Techniques

Ana, Mele and Finn recorded how many safety helmets were checked at a building site each day. Use the data displays and your statistics skills to choose, read and plan effective visualisations. Show your working where needed.

Choose and read displays

Think about what each type of graph shows best.

1.The site manager wants to compare the number of helmets checked in four work areas: loading bay 18, framing 26, concrete 14 and roofing 22. Which display is best for comparing these categories, and why?

2.Helmet checks over five days were: Monday 12, Tuesday 16, Wednesday 15, Thursday 21 and Friday 24. Which graph would best show how the count changes over time?

A line graph
A pie chart
A picture of the building site

3.The team checked 40 helmets altogether. A circle is divided into 8 equal parts, and 3 parts are shaded to represent helmets needing adjustment. What fraction of the helmets needed adjustment?

4.A pie chart is being planned to show how 40 checked helmets were classified: 20 passed, 12 needed adjustment and 8 needed repair. Which category will have the largest slice? Explain briefly.

Investigate the daily data

Use this table for Questions 5–8. The numbers are helmets checked at the building site.

Day

Mon

Tue

Wed

Thu

Fri

Helmets checked

5.On which day were the most helmets checked, and how many were checked?

6.How many more helmets were checked on Friday than on Monday? Show the subtraction.

7.Find the total number of helmets checked across all five days.

8.Find the mean number of helmets checked per day. Give your answer as a whole number or decimal.

9.A graph is made from the daily data. Describe the overall trend from Monday to Friday, and mention one change between neighbouring days.

Make the visualisation work

Good displays help people understand evidence accurately.

10.Finn makes a bar graph but leaves off the labels for both axes. What information should be written on the horizontal and vertical axes for the daily helmet data?

11.Mele wants to show the five daily counts as parts of one total. Name a suitable graph and one important feature it should include.

12.Plan a data investigation for the building site. Write one question to investigate, identify a variable to record, choose a suitable display, and give one reason for your choice.