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what is a 2 way table?

By Lee Mansfield on the 11th of June, 2012

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    A two way table is a table comparing two different things (variables). One variable goes along the columns, and the other goes across the rows. An example of a two-way table is given below, modelling the number of boys and girls in a sixth form.

    Refine By Mohammed Kadeira on the 11th of June, 2012

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    A table with r rows and c columns in which the entry in cell (i, j) represents either the frequency for that outcome (in the context of a contingency table for categorical variables) or a value resulting from that row and column combination in the context of ANOVA. Such a table might be called an r-by-c table; if r=c=2 then it would be called a two-by-two table.

    Refine By AMRITA CHAKRAVARTY on the 21st of January, 2013

Suggested reading…

Use a two-way table to work out probability

Two way tables compare one thing with another. For example, the number of students taking Spanish lessons, and which of those students are girls or boys.

These tables can be used to work out the probability that a student selected at random would be a boy taking Spanish, for example.

Example: A school offers either Spanish or French as a compulsory subject in year 7. Below is a table showing how many boys and girls chose spanish and how many chose french.

  Spanish French
Boys 130 160
Girls 150 135

From the table we can find out:

  • There are a total number of 290 boys (130+160) and 285 (150+135) girls in year 7
  • 13/29 of the boys chose Spanish instead of French (130 out of 290)
  • 51% of the year chose to do French instead of Spanish (( 160+135)/(290+285)) * 100

Follow the links below to see how this topic has appeared in past exam papers

 

Edexcel November 2012 (F) - Page 18, Question 20 

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