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# Histograms

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### Transcript

• 1. Histograms 8 7 6 5 4 3 2 1 0 1-10 11-20 21-30 31-40 41-50 51+ © T Madas
• 2. How do we present Continuous Data?Continuous Data can only be presented in groupsWe can only present Grouped Continuous DataThe main graph for Grouped Continuous Data is:A Histogram © T Madas
• 3. Response Times to a Maths Question 14 f Class Frequenc interval y 12(seconds) f0 ≤ t < 10 12 1010 ≤ t < 20 14 820 ≤ t < 30 7 630 ≤ t < 40 8 440 ≤ t < 50 5 2 t50 ≤ t < 60 4 0 0 10 20 30 40 50 60 © T Madas
• 4. Response Times to a Maths Question 14 f 12A histogram looks 10like a bar chart but: 8Continuous Data 6 Histogrammeans NO GAPS 4between bars 2 t 0 0 10 20 30 40 50 60 © T Madas
• 5. This seems a small differencebetween a bar chart and aHistogram. Is that it? NO © T Madas
• 6. The real difference between Bar Chartsand Histograms is:In a Bar Chart the lengths of the bars areproportional to the frequency they represent.In a Histogram the areas of the rectangles areproportional to the frequency they represent. © T Madas
• 7. Response Times to a Maths Question 14 f 12 10The heights of the bars 8represent frequency onlyif the groups are of equal 6intervals 4 2 t 0 0 10 20 30 40 50 60 © T Madas
• 8. Histograms withunequal width intervals © T Madas
• 9. Reaction Times in a Chemistry Experiment ? Frequency Class Frequency Density interval Frequency density(seconds) f0 ≤ t < 4 3 0.754 ≤ t < 5 8 85 ≤ t < 6 9 9 Frequency Frequency Density =6 ≤ t < 7 13 13 Class width7 ≤ t < 8 5 5 t 0 1 2 3 4 5 6 7 8 98 ≤ t < 10 6 3 10 © T Madas
• 10. Reaction Times in a Chemistry Experiment Frequency Class Frequency 14 Density interval Frequency density(seconds) 12 10 f0 ≤ t < 4 3 0.75 84 ≤ t < 5 8 8 65 ≤ t < 6 9 9 46 ≤ t < 7 13 13 27 ≤ t < 8 5 5 t 0 0 1 2 3 4 5 6 7 8 98 ≤ t < 10 6 3 10 © T Madas