Statistics · Guided Practice
Statistical Diagrams
8 questions with answers and video solutions. Try each one before revealing the answer.
The headteacher wants to show the proportion of pupils choosing each meal.
State the most appropriate diagram, and justify your answer.
Answer
It shows each category as a share of the whole, which is what a proportion is.
(a) State the independent variable.
(b) State the most appropriate diagram for this data.
Answer
(b) A scatterplot, because two numerical variables are being compared for each plant.
State whether a boxplot or a histogram is more appropriate, and justify your answer.
Answer
It shows the shape of the whole distribution, so skew is visible. A boxplot summarises the data into five numbers and hides the shape.
Office A has a median of seconds and an interquartile range of seconds.
Office B has a median of seconds and an interquartile range of seconds.
Compare the two offices.
Answer
The answer times at Office B are more consistent, because its interquartile range of seconds is smaller than Office A's seconds.
Answer
State an appropriate diagram for displaying this data, and explain why a histogram would not be suitable.
Answer
Eye colour is categorical, and a histogram is for numerical data grouped into intervals, so it cannot be used here.
Answer
A histogram shows continuous numerical data split into intervals that run into one another, so the bars touch.
You must refer to the spreadsheet file 'Q12 Eye Colour.xlsx' when answering this question.
You must complete parts (a), (b) and (c) using the spreadsheet file.
A random sample of 50 children were invited to take part in a general health study. They were asked to answer the following questions: State your sex, State your eye colour, Are you colour blind?
The responses from the survey were partially entered into a 'Participant Responses' table. Participants 3, 7, 13, and 18 responded 'yes' to being colour blind. All other participants were not colour blind. Participant 42 has withdrawn their consent for their responses to be included in the data.
(a) Complete the 'Participant Responses' table using the information above.
(b) Complete the 'Eye Colour Summary' table.
(c) Create an appropriate chart to display the frequencies in the 'Eye Colour Summary' data.
Answer
(a) Participant 42 removed from dataset. Participants 3, 7, 13, and 18 marked as "yes" for Colour Blind; all others marked as "no".
(b) blue: 11, brown: 34, green: 4.
(c) A bar chart or pie chart generated via software with appropriate titles and labels (e.g., Eye Colour Summary, Frequencies).