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Histogram Edexcel S1 Mathematics 2003

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Histogram Used to represent continuous grouped data Does not have any gaps between bars Areas represent frequency.

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. (b) Estimate the number of students under 158 cm in height Answer (a): find class boundaries label horizontal axis using continuous scale find class widths find class frequency densities label vertical axis for frequency densities draw bars using class boundaries and frequency densities

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class boundaries

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class boundaries Eg boundary between 154 and 155 is 154.5

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class boundaries Eg boundary between 154 and 155 is 154.5

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class boundaries Height cm heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): label horizontal axis using continuous scale heights of 325 students Height cm

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): label horizontal axis using continuous scale Height cm heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data Height cm heights of 325 students Answer (a): find class widths

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data Height cm heights of 325 students Answer (a): find class widths Eg – = 10

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class widths Height cm heights of 325 students Eg – = 10

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class widths Height cm heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data Height cm heights of 325 students Answer (a): find class frequency densities Frequency density =

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data Height cm heights of 325 students Answer (a): find class frequency densities Frequency density = Eg=

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class frequency densities 0 Frequency density (No of students per cm) Height cm heights of 325 students Frequency density = Eg= 5

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): find class frequency densities 0 Frequency density (No of students per cm) Height cm heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): label vertical axis for frequency densities Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): draw bars using class boundaries and frequency densities Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): draw bars using class boundaries and frequency densities Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): draw bars using class boundaries and frequency densities Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): draw bars using class boundaries and frequency densities Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data. Answer (a): draw bars using class boundaries and frequency densities Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (a)Draw a histogram to illustrate the above data Frequency density (No of students per cm) Height cm 12 Answer (a): draw bars using class boundaries and frequency densities heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): find class containing Frequency density (No of students per cm) Height cm 12 heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students 158 – =

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students 158 – =

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students – = =

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students – = = = 72.5

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Histogram - example Question: The heights of 325 students were measured to the nearest cm (b) Estimate the number of students under 158 cm in height Answer (b): use interpolation to estimate number under Frequency density (No of students per cm) Height cm heights of 325 students 158 – = = = students 72.5 Approx 73 students under 158 cm

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Histogram - example Question: The heights of 325 students were measured to the nearest cm Answer: Frequency density (No of students per cm) Height cm heights of 325 students (a)Draw a histogram to illustrate the above data. (b) Estimate the number of students under 158 cm in height Approx 73 students under 158 cm 72.5

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