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Maths

Line graphs, frequency polygons and stem and leaf diagrams

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For the exam, you will need to know how to draw and interpret statistical diagrams including two way tables, line graphs, frequency polygons and stem and leaf diagrams.

Two-way tables

Below is an example of a two-way table showing the number of boys and girls in a 6th form college:

 L6U6
Boys140100
Girls120140

We can find out lots of information from this table, for example:

  • There are 260 girls in the college (120 + 140)
  • 5/12 of the boys are in U6 (100 out of 240)
  • 48% of the pupils are boys (240/500 × 100)%
  • If a girl is chosen at random, the probability that she is in class L6 is 6/13 (there are 260 girls, and 120 of them are in L6, so 120/260 or 6/13)
Question
  1. How many pupils are in L6?
  2. If a boy is chosen at random, what is the probability that he is in U6?

toggle answer

Answer
  1. There are 260 pupils in L6 (140 boys and 120 girls)
  2. 5/12 (100 out of 240)

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