1 / 8

Cumulative Frequency Diagrams & Box Plots

Learn about how to interpret cumulative frequency diagrams and box plots, calculating interquartile range, quartiles, median, and comparing data sets. Understand the significance of box plots in statistical analysis. Discover why the range is not used for comparison.

jodybrooks
Download Presentation

Cumulative Frequency Diagrams & Box Plots

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Cumulative Frequency Diagrams & Box Plots OCR Stage 8

  2. Cumulative Frequency 10 26 56 78 80

  3. x 80 x Cum freq Interquartile Range = 15½ - 8½ = 7 mins 60 x Median = Middle Value 40 • QUARTILES • Lower Quartile = ¼ way • Upper Quartile = ¾ way x 20 x 8½ 12½ 15½ 5 10 15 20 25 t mins

  4. Lowest value Highest value Median Lower Quartile Upper Quartile 0 5 10 15 20 25 t mins Box Plot

  5. Cum freq Comparing 2 sets of data Median = 62kg Upper Quartile = 70kg Lower Quartile = 52kg Interquartile range = 70 – 52 = 18kg

  6. Cum freq Comparing 2 sets of data Median = 78kg Upper Quartile = 89kg Lower Quartile = 66kg Interquartile range = 89 – 66 = 23kg

  7. Median = 62kg Upper Quartile = 70kg Median = 78kg Lower Quartile = 52kg Highest = 96 Lowest = 34 Upper Quartile = 89kg Lower Quartile = 66kg Highest = 112 Lowest = 40 20 40 60 80 100 120 m kg 18 23 Box Plots GIRLS BOYS IQRs MEDIANS 78 and 62

  8. Comparison statements • Boys have a larger MEDIAN so • on average, they are heavier than girls • the average boy is 16kg heavier than the average girl • Boys have larger Interquartile Range so • boys’ weights vary more than girls’ weights • Why do we NOT use the Range? • One extreme value can distort the comparison

More Related