Lesson Worksheet: Appropriate Data Display Mathematics

In this worksheet, we will practice selecting appropriate diagrams to display data.

Q1:

Which of the following would be most appropriate to display data if we wanted to show how frequently each number occurs?

  • ALine plot
  • BPie chart
  • CBox plot
  • DVenn diagram
  • EScatterplot

Q2:

A pie chart is best used to display data when you want to do which of the following?

  • ACompare the frequency of data grouped into equal intervals
  • BShow how the data changes over time
  • CSee the correlation in the data
  • DCompare parts of the data to the whole

Q3:

Students in Hannah's class can speak English, French, Spanish, or a collection of all three. She asks each person to list which of the three languages they speak. She wants to analyze how many people in her class speak one language and how many speak more. Which of the following would be the best choice to display the data that she collects?

  • AVenn diagram
  • BBar graph
  • CLine plot

Q4:

The following graphs all display data about the pets owned by the students in a class.

Which of these displays should we use if we want to analyze the most common type of pet?

  • AThe Venn diagram
  • BThe bar graph

Which of these displays should we use if we want to compare the number of students who own exactly one pet?

  • AThe bar graph
  • BThe Venn diagram

Q5:

A statistician collected data on the masses of a population of birds. She then produced a box plot and a histogram of the masses.

From which graph can the exact value of the median be identified?

  • Athe histogram
  • Bthe box plot

From which graph could you calculate the total population of birds?

  • Athe histogram
  • Bthe box plot

From which graph could you calculate the exact value of the interquartile range?

  • Athe histogram
  • Bthe box plot

Q6:

Which of the following graphs is used to estimate the median of grouped data?

  • APie chart
  • BBar graph
  • CHistogram
  • DLine graph
  • ECumulative frequency polygon

Q7:

Which type of data display shows the exact value of the median?

  • AA histogram
  • BA pie chart
  • CA box plot
  • DA line graph
  • EA line plot

Q8:

Which of the following type of data display is most suitable to show how numeric data changes with time?

  • AA line graph
  • BA box plot
  • CA histogram
  • DA pie chart
  • EA bar graph

Q9:

The table shown gives the percentage of shoes sold in a month by three brands.

BrandBrand ABrand BBrand C
Percentage30%40%30%

Which of the following is the most suitable type of graph to represent a comparison between the percentages of sold items?

  • AHistogram
  • BBox plot
  • CPie chart
  • DBar graph
  • ELine graph

Q10:

The following table represents the math grades for two different classes.

GradeClass 1Class 2
10–20108
20–30155
30–401015
40–5056

Which display graph is best to compare the frequencies of the two classes?

  • APie chart
  • BBox plot
  • CBar graph
  • DTime graph
  • EFrequency polygon

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