Starter Use the frequency diagram to find: Mode Median Range

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Presentation transcript:

Starter Use the frequency diagram to find: Mode Median Range Explain why we can’t find the mean for this data?

Frequency Objectives Key Vocabulary To be able to present continuous data in grouped frequency distributions To use grouped frequency data and represent it using histograms Key Vocabulary Frequency Histogram Class Width

7, 8, 7, 6, 7, 5, 7, 6, 7, 6, 8, 6, 7, 7, 6, 6, 7, 5, 6, 8  5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8 There are different ways of presenting data to make it easier to understand. Shoe Size Frequency 5 2 6 7 8 3

For some data it makes sense to use a grouped frequency distribution 140cm, 179cm, 160cm, 151cm, 167cm, 153cm, 142cm, 141cm, 161cm, 157cm, 171cm, 152cm, 162cm, 164cm, 151cm, 166cm, 141cm, 166cm, 153cm, 146cm, 159cm, 159cm, 151cm, 168cm, 157cm, 138cm, 152cm, 149cm, 158cm, 178cm, 167cm, 148cm For some data it makes sense to use a grouped frequency distribution Frequency Height (cm) 130 140 170 150 160 180 Histogram showing frequency of heights in sample 12 10 Height (cm) Frequency 130- 1 140- 7 150- 12 160- 9 170- 3 180- 8 6 4 2

The points are the midpoints of the class intervals Another way to present frequency data is with a frequency polygon Frequency polygons showing the frequency of heights for boys and girls in sample Histogram showing frequency of heights in sample 12 10 We can compare more than one frequency polygon in the same graph 8 Frequency 6 Boys 4 2 Girls 130 140 150 160 170 180 Height (cm)

The area is given by the width x height It is possible to have a histogram with unequal class widths Height (cm) Frequency 130- 15 145- 30 155- 160- 40 165- 175- The frequency is given by the area of the bars. The area is given by the width x height Frequency Density 7 6 5 4 3 2 1 130 140 150 160 170 180 190 Height (cm)

Frequency Density So that … The Frequency Density is the frequency ÷ class width So that … Class Width x Frequency Density = Frequency Frequency Density 7 6 5 4 3 2 1 130 140 150 160 170 180 190 Height (cm)

For more revision on histograms, refer to www. mymaths. co For more revision on histograms, refer to www.mymaths.co.uk/ and these online lessons ….  Data  Charts and Graphs  Histograms  GCSE Stats  Presenting Data  Histograms