Box Whisker Plot Introduction Box and whisker plots

Ø Box & Whisker Plot

Ø Introduction: ü Box and whisker plots are very effective and easy to read, as they can summarize data from multiple sources and display the results in a single graph. Box and whisker plots allow for comparison of data from different categories for easier, more effective decision making. ü The box plot , which are graphically very simple, are based on the median, and a Interquartile Range (IQR). They are informative and effective for comparing two or more data sets / distribution. ü .

Ø When to use a Box and Whisker Plot: we use a box and whisker plots when you have multiple data sets from independent sources that are related to each other in some way. Examples: Data from before and after a process.

Ø How to Make a Box and Whisker Plot The procedure to develop a box and whisker plot comes from the five statistics below. Maximum value: The largest value in the data set Minimum value: The smallest value in the data set First quartile: The value below which the lower 25% of the data are contained Median value: The middle number in a range of numbers Third quartile: The value above which the upper 25% of the data are contained

Ø Example: Construct a box & whisker plot for the given data. Mini = 6. 25 Max = 16. 5 IQR = 9. 25 Q = 3. 75 Q 1 3 = 5. 5

Ø The Box And whisker plot: 3. 75 + 5. 5 Mini= 6. 25 Maxi= 16. 5 Q 1 0 40 45 50 Q 3 IQR=9. 25 55 60 65 70 75 80

üDuring rainy days when the roads are wet and you drive the car sometimes the water spills on the road. When the petrol mixes with the water we can see different colors. üDispersion of colors in soap bubbles. üAfter the rain, we see the rainbow in the sky which is due to the dispersion of the sunlight.