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Page 1

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Unit 1 GCSE Maths
Methods of Sampling
See sheet attached to this page.
Stratified sampling
2000 small caps
4000 medium caps
3000 large caps
1000 extra large caps
Total= 10000
Sample= 50
Small= 2000 x 50 = 10 caps
Medium= 4000 x 50= 20 caps

Page 2

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Raw Data Frequency Table Grouped Frequency Table
No. Of TVs
1, 5, 2, 3, 2, 3, 2,
3, 5 ,0, 2, 2, 3, 1, 1, 0, 4, No Tall Freq No. Of TV No. Tally Frequenc
1, 2, 3, 2, 3, 1, . y . x Of y
Of Frequenc…

Page 3

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Lower Quartile: 1 n n= the number of pieces of data you
Median: 1 n
Upper Quartile: 3 n
If these are a decimal value, always round-up!
If it works out to be an integer (whole number) then take the average of this and the

Page 4

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On the table, the cumulative frequency is a column totalling the number of values entered in the
frequency column so far.
On the graphs, the co-ordinates will be the group value (or score), cumulative frequency value.
It should always go up!
When plotting, if the table has a range of…

Page 5

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The stem and leaf diagram is formed by splitting the numbers into two parts - in this case, tens
and units.
The tens form the 'stem' and the units form the 'leaves'.
This information is given to us in the Key.
It is usual for the numbers to be ordered.…

Page 6

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From the tree diagram, we can see that there are eight possible outcomes. To find out the
probability of a particular outcome, we need to look at all the available paths (set of branches).
The sum of the probabilities for any set of branches is always 1.
Also note that…

Page 7

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Bar Graph
Discrete data. Gaps in between, separate figures, block labelled.
Continuous data. No gaps. Range given, lines labelled. Individual bars are not labelled because
the data is continuous. Doesn't have to start at 0.
Frequency Polygon
Plotted at the midpoints of the bars on histograms.


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