Histogram Edexcel S1 Mathematics 2003. Histogram Used to represent continuous grouped data Does not have any gaps between bars Areas represent frequency.

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Presentation transcript:

Histogram Edexcel S1 Mathematics 2003

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

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

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

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

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

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

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

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

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

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

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

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

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 =

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=

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

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

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

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

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

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

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

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

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

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

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

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

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 – =

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 – =

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 – = =

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

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

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