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Day 3 – Measures of Central Tendency

A few vocab words to know …

Outlier:

Range:

Measure of Central Tendency How do I find it?

Mean

Median

Mode

Example 1: Let’s Bowl!

a. Identify the range of the bowling scores. b. What are the following measures of central tendency:

Mean:

Median:

Mode:

c. Which measure of central tendency best describes the scores? Why? d. What effect does the score of 189 have on the measures of central tendency for this data set?

Mean? Median? Mode? e. Consider the scores from the previous question without the score of 189 for Bowler 5. What are the

mean, median, mode, and range of the scores?

Example 2: Your grades on three exams are 80, 93 and 91. What grade do you need on the next exam to have an average of 90 on the four exams?

Another Method of Organizing Quantitative Data … Box and Whisker Plots

Let’s make one! The table below shows the number of crops harvested in the U.S. for a certain period. Draw a box and whisker plot to represent the data.

5 Number Summary: Minimum First Quartile Median Third Quartile Maximum

Ordered List: Box-and-Whisker Plot:

Interquartile Range (IQR):

Let’s give it another go! The table shows the number of sales by 8 sales people over the past month. Draw a box and whisker plot to represent the data.

Ordered List: Box-and-Whisker Plot:

Reading Box-and-Whisker Plots The finishing times of two runners for several one-mile races, in minutes, are shown in the box-and-whisker plots.

a. Whose median time is faster?

b. Who has the slowest time overall?

c. Overall, who is the faster runner? Explain.