Stage 8 - Q1 - 2 marks
How many pupils read exactly two books?
Hint
Use the vertical frequency scale.
Stage 8 - Q2 - 2 marks
How many pupils are represented altogether?
Hint
Each pupil appears in exactly one category.
Stage 8 - Q3 - 2 marks
Find the modal number of books read.
Hint
The mode is a category value, not a frequency.
Stage 8 - Q4 - 2 marks
How many pupils read at least two books?
Hint
At least two includes exactly two.
Stage 8 - Q5 - 3 marks
What fraction of the pupils read no books?
Hint
Use all pupils in the denominator.
Stage 8 - Q6 - 4 marks
Draw a bar chart for book counts 0, 1, 2, 3 with frequencies 2, 4, 3, 1. Include a title and labelled axes.
Hint
These discrete categories should have separated bars.
Stage 8 - Q7 - 4 marks
Book counts 0, 1, 2, 3, 4 have frequencies 3, 5, x, 4, 2. There are twenty pupils. Find x and identify the modal category.
Hint
The missing bar must make the total frequency correct.
Stage 8 - Q8 - 4 marks
Find the total number of books read by the pupils in the diagram.
Hint
A frequency is the number of pupils with that book count.
Stage 8 - Q9 - 5 marks
A pupil averages the five horizontal category labels and reports a mean of two books. Find the correct mean and explain the error.
Hint
An average of category labels ignores how many pupils occupy each category.
Stage 8 - Q10 - 6 marks
Book counts 0, 1, 2, 3 have frequencies 2, x, 5, y. Twenty pupils read thirty-seven books altogether. Find x and y and explain why the total pupil count alone would not determine both.
Hint
Use one equation for pupils and another for books.