4 5b Histograms
- 1. Histograms Not just another bar graph
- 2. Bar Graphs and Line Graphs Show trends Compares Ascending and descending data
- 3. Histograms Compare data Divides data into equal groups Shows frequency of data in graph form Bars are attached to show no data in-between graph bars
- 4. Observe How are the graphs alike? How do they contrast?
- 5. Hardware Store Two Bins Nuts and Bolts All sizes put into one of two bins? Histogram Puts data into different bins to find what is needed more easily data recorded by frequency
- 6. Data shows many modes 1 9 2 2 2 5 8 3 2 3 3 5 4 9 5 1 1 3 4 5 6 6 1 6 7 7 7 1 3 8 8 0 What is the frequency of this range of numbers?
- 7. Make a histogram Stem and Leaf 1 9 2 2 2 5 8 3 2 3 3 5 4 9 5 1 1 3 4 5 6 6 1 6 7 7 7 1 3 8 8 0 80 78 73 71 67 67 66 61 56 55 54 53 51 51 49 35 33 33 32 28 25 22 22 19 Data
- 8. How it looks 1 9 2 2 2 5 8 3 2 3 3 5 4 9 5 1 1 3 4 5 6 6 1 6 7 7 7 1 3 8 8 0 Frequency divided into range groupings of 20 75-94 55-74 35-54 15-34
- 9. Science Data Density of Unknown Liquid (g/ml) 0.98 0.99 0.81 0.99 1.02 1.16 1.17 0.96 0.98 1.01 1.05 1.00 1.16 1.19 1.02 1.20 1.18 1.43 Students measured the density of an unknown liquid. Each group had a clear liquid Did they have the same substance? Strictly forbidden to drink any unknown liquid in the science lab Rely on their density data.
- 10. Organize Data Density of Unknown Liquid (g/ml) 0.98 0.99 0.81 0.99 1.02 1.16 1.17 0.96 0.98 1.01 1.05 1.00 1.16 1.19 1.02 1.20 1.18 1.43 Stem and leaf plot or Low-to-High list 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 3 Key 10 | 1 = 1.01
- 11. Data for Histogram 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 14 3 Low value 0.81 High value 1.43 18 samples measured. Range 1.43 – 0.81 = 0.62 Divide into five bars Use a range of 65 for ease of use 0.65 ÷ 5 = 0.124
- 12. Prepare the data Range of each bar’s data: 0.130 Raise the in-between value up to a convenient value, such as 0.15 Bar values on the x-axis 0.80 + .15 = 0.95
- 13. Appropriate graph divisions? 0.80 – 0.95 0.95 – 1.10 1.10 – 1.25 1.25 – 1.40 Above 1.40 Adjust to 1.49 for each bar value 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39
- 14. Count data into groups 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 3
- 15. Count data into groups 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 14 3
- 16. Count data into groups 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 14 3
- 17. Count data into groups 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 14 3
- 18. Count data into groups 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 14 3
- 19. Count data into groups 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 08 1 09 6 8 8 9 9 10 0 1 2 2 5 11 6 6 7 8 9 12 0 13 14 3 Values 1 10 6 0 1
- 20. Frequency Table 0.80 – 0.94 0.95 – 1.09 1.10 – 1.24 1.25 – 1.39 Above 1.39 1 10 6 0 1
- 21. Interpret Data Values 1 10 6 0 1 1 10 6 1 Measurements of fluid 1.40 + 1.25-1.39 1.10-1.24 0.95-1.09 0.80-0.94 s d i q i l f o #
- 22. Did You Know? You will see lots of gulls perched on the ground or beach before a storm.