Cumulative Frequency
GCSE
TARGETED
ASSESSMENT TASK
What is being assessed…
Wh
• Creating a cumulative frequency table and drawing a cumulative frequency graph
•
•
•
•
1.
Find the median, quartiles and interquartile range using a cumulative frequency
diagram
Find the median, quartiles and interquartile range of raw data
Drawing box and whisker diagrams
Comparing distributions
The height of 30 students in a class was measured and the results recorded as follows.
Height
Frequency
4
7
9
6
3
1
On the graph paper provided, draw a cumulative frequency graph for the data.
[5]
The mass of a number of rocks was collected and the results displayed in the following cumulative
frequency diagram.
a) Find the number of rocks that have a mass greater than 50kg.
.............................. rocks
[2]
80
70
60
cumulative frequency
2.
TARGETED
ASSESSMENT TASK
Cumulative Frequency
GCSE
50
40
30
20
10
0
0
10
20
30
40
50
60
70 mass, kg
b) Draw a box and whisker diagram to represent this data
[4]
GCSE
3.
TARGETED
ASSESSMENT TASK
Cumulative Frequency
A student rolled a fair die and recorded the number of throws it took until she scored a six. She
Sh repeated
the experiment
xperiment a number of times. Her results were,
16
a)
1
13
3
2
10
15
3
14
2
8
In the grid below, draw a box and whisker diagram to represent this data.
[5]
b)
4.
State the inter-quartile
quartile range of this data
..................
[2]
30 students took two tests. One in Physics and one in Mathematics. The results of the tests are
represented in the following diagram.
Mathematics test results
0
10
20
30
40
50
60
70
80
90 100
(%)
80
90 100
(%)
Physics test results
0
10
20
30
40
50
60
70
Compare the results of the two tests, stating any similarities and any differences.
[2]
Total 20 marks