Constructing a cumulative frequency graph | Maths | Quizalize & Oak National Academy

Starter quiz

This is a table showing the colours of some cars in a car park. Which of the following could be a title for the third column?

Angle

Frequency ✓

Tally

Number
This table shows the colours of 100 cars in a car park. How many are white?

'29' ✓
What is the upper boundary of this group? $20 < x \leq40$

'40' ✓
Which two numbers are covered in this table?

41 and 60

41 and 59

40 and 59

40 and 60 ✓
What are the coordinates of point A? (Remember to write your answer using brackets.)

'(10, 4)' ✓
What are the coordinates of point B? (Remember to write your answer using brackets.)

'(50, 30)' ✓

______ frequency is the total of all frequencies up to a defined class. It is the 'running total' of frequencies.

'Cumulative' ✓
What is the next cumulative frequency?

'45' ✓
What is the missing cumulative frequency?

'77' ✓
When plotting the points on a cumulative frequency graph you plot the cumulative frequency against what?

Lower boundary of the group

Mid-point of the group

Upper boundary of the group ✓

Any point in the group
After the points have been plotted what should you do next?

Draw a line of best fit

Do not join the points

Join the points with a ruler

Join the points with a smooth curve ✓
What coordinates should be plotted for the third point?

(45, 32)

(30, 77)

(45, 77)

(50, 32)

(50, 77) ✓

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Plotting the midpoint of the class against the cumulative frequency.

Ensure that the pupils are clear that each cumulative frequency includes all values up to the upper boundary of each group.

Cumulative frequency - Cumulative frequency is the total of all frequencies up to a defined class. It is the 'running total' of frequencies.