Maths

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10 Terms

1
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Mean

Add up all values then divide by number of values

Most powerful

Avoid using for extreme outliers

2
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Median

Order from least to greatest → middle value

Used for data with outliers

3
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Mode

Most common value

4
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Measures of Dispersion: Range

Highest to lowest

5
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Measures of Dispersion: Interquartile Range

  • Getting rid of the lower + higher values and work out the range

  • Used for anomalous data/extreme values


6
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Measures of Dispersion: Standard Deviation

  • Highest point on a curve = mean/average

  • Split into segments [standard deviation]

  • 4 standard deviations = 4 segments

  • 9SD means there is a wider variety than 4SD


  • Normal distribution = mode, median and mean are all the same value

  • Positive = mean is higher → difficult exam most students get low marks but some get high

  • Negative = mean is lower → easy exam most students get high marks but some get low


<ul><li><p><span style="background-color: transparent;">Highest point on a curve = mean/average</span></p></li><li><p><span style="background-color: transparent;">Split into segments [standard deviation]</span></p></li><li><p><span style="background-color: transparent;">4 standard deviations = 4 segments</span></p></li><li><p><span style="background-color: transparent;">9SD means there is a wider variety than 4SD</span></p></li></ul><p></p><ul><li><p><span style="background-color: transparent;">Normal distribution = mode, median and mean are all the same value</span></p></li><li><p><span style="background-color: transparent;">Positive = mean is higher → difficult exam most students get low marks but some get high</span></p></li><li><p><span style="background-color: transparent;">Negative = mean is lower → easy exam most students get high marks but some get low</span></p></li></ul><p></p>
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Measures of Dispersion: Bar chart

Nominal data [categories]

<p><span style="background-color: transparent;">Nominal data [categories]</span></p>
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Measures of Dispersion: Scatter Graphs

Correlations

<p><span style="background-color: transparent;">Correlations</span></p>
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Measures of Dispersion: Histograms

Numbers, continuous data [0-5, 5-10] like test scores

<p><span style="background-color: transparent;">Numbers, continuous data [0-5, 5-10] like test scores</span></p>
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Measures of Dispersion: Line Graphs

Changes over time/trends, two sets of data [boys scores vs girls scores]

<p><span style="background-color: transparent;">Changes over time/trends, two sets of data [boys scores vs girls scores]</span></p>