Question 1
Students results in a year 10 maths tests are displayed in the step and leaf diagram below:
How many pupils were in the class?
Select the correct answer from the list below.
A: 20
B: 30
C: 28
D: 25
CORRECT ANSWER: D: 25
WORKED SOLUTION:
There are a total of 25 data points so there are 25 students.
Level 6
Question 2
Students results in a year 10 maths tests are displayed in the step and leaf diagram below:
What was the modal mark?
Select the correct answer from the list below.
A: 33
B: 48
C: 59
D: 65
CORRECT ANSWER: A: 33
WORKED SOLUTION:
The most frequent number is 33
Level 6
Question 3
Students results in a year 10 maths tests are displayed in the step and leaf diagram below:
Find the median maths mark?
Select the correct answer from the list below.
A: 33
B: 54
C: 51
D: 65
CORRECT ANSWER: A: 33
WORKED SOLUTION:
Put all the values in order.
Select the middle value or middle pair of numbers.
The median value is the middle value of mean of the middle pair.
Level 6
Question 4
Students results in a year 10 maths tests are displayed in the step and leaf diagram below:
Find the range of marks.
Select the correct answer from the list below.
A: 34 marks
B: 39 marks
C: 43 marks
D: 46 marks
CORRECT ANSWER: C: 43 marks
WORKED SOLUTION:
The range is the difference between the largest and smallest data values.
In this case 75-32=43
Level 6
Question 5
Students results in a year 11 English tests are displayed in the step and leaf diagram below:
Find the modal test score.
Select the correct answer from the list below.
A: 79
B: 107
C: 85
D: 80
CORRECT ANSWER: A: 79
WORKED SOLUTION:
Select the value that occurs most often.
Level 6
Question 6
Students results in a year 11 English tests are displayed in the step and leaf diagram below:
Find the median test score.
Select the correct answer from the list below.
A: 68
B: 79
C: 85
D: 84
CORRECT ANSWER: B: 79
WORKED SOLUTION:
Put all the values in order.
Select the middle value or middle pair of numbers.
Median value is the middle value of mean of the middle pair.
Level 6