Averages-From-Tables- Wjec-Eduqas Foundation

Averages from tables & charts

What are frequency tables?

• Frequency tables are used to summarise data in a neat format

  • They also put the data in order

• For example, the table below shows the number of pets in different houses along a street

  • The number of pets is the data value, x

  • The number of houses is the frequency, f

    • The frequency is how many times a data value is recorded (or seen)

• The total frequency, n, can be calculated by adding together all the values in the frequency column

How do I find the mode from a frequency table?

• The mode is the data value with the highest frequency

  •  The mode for the example above is 1 pet per house

    • The mode is not the frequency, 7, this is the number of houses that have exactly 1 pet

How do I find the median from a frequency table?

• The median is the data value in the middle of the frequency

  • It is the value, where  is the total frequency

• From above,  so the median is the <img alt=”open parentheses fraction numerator 20 plus 1 over denominator 2 end fraction close parentheses to the power of t h end exponent” data-mathml='<math ><semantics><msup><mfenced><mfrac><mrow><mn>20</mn><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac></mfenced><mrow><mi>t</mi><mi>h</mi></mrow></msup><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”47″ role=”math” 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