Measures of Central Tendency

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Presentation transcript:

Measures of Central Tendency

5 Number Summary Minimum (lowest number) First Quartile Median (second Quartile) Third Quartile Maximum (highest number)

What does a graph of the five number summary look like? A boxplot!

Anatomy of a Box and Whisker Diagram. Lower Quartile Upper Quartile Lowest Value Highest Value Whisker Boxplot A boxplot is a graph of a five-number summary. A central box spans the quartiles Q1 and Q3 A line in the box marks the median (M) Lines extend from the box out to the smallest and largest numbers. Anatomy of a Box and Whisker Diagram. Median

Boxplot organizer!

To make a box and whisker plot: 1st: Write the data in order Use the temperatures: 84, 80, 78, 81, 83, 76, 82, 80 Mean: the average Add Divide total number Median: the middle number Write the numbers in order, smallest to greatest. Find the middle If two in middle, take average of them Mode: Most frequent number. There can be none, one, or many modes. Range: Highest - Lowest First Quartile Q1 Median lower half Third Quartile Q3 Median upper half InterQuartile Range: IQR Q3 – Q1 Outlier: 1 High, 1 Low Q1 – 1.5(IQR) Q3 + 1.5(IQR) To make a box and whisker plot: 1st: Write the data in order ____ ____ ____ ____ ____ ____ ____ _____ Range: Highest – Lowest _______________________ Q1: Median lower half Find the median, put a box around it. Q3: Median Upper Half. IQR: Q3 – Q1:______________

Min: Q1: Median: Q3: Max: Mode: Range: IQR: Mean: 75 76 77 78 79 80 81 82 83 84 85

Example 1: Draw a Box plot for the data below and give the mode, range, IQR and mean Drawing a Box Plot. 4, 5, 6, 8, 8, 8, 9, 9, 9, 10, 12 Mode: Range: IQR: Mean:

Example 2: Draw a Box plot for the data below and give the mode, range, IQR and mean Drawing a Box Plot. 3, 4, 4, 6, 8, 8, 8, 9, 10, 10, 15 Mode: Range: IQR: Mean:

Drawing a Box Plot. Example 3: Draw a Box plot for the data below and give the mode, range, IQR and mean 6, 22, 4, 15, 14, 8, 8 Mode: Range: IQR: Mean:

Drawing a Box Plot. Example 4: Draw a Box plot for the data below and give the mode, range, IQR and mean 10, 15, 12, 20, 25, 22, 29 Mode: Range: IQR: Mean:

Boxplot Practice Worksheet Homework Boxplot Practice Worksheet