# Warm Up. Lesson 54, Displaying Data in a Box-and- Whisker Plot Probability and Statistics.

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Warm Up

Lesson 54, Displaying Data in a Box-and- Whisker Plot Probability and Statistics

Box and Whisker Plots Box and whisker plot: uses five points to display data, the minimum, the maximum, the median, the first quartile, and the third quartile  A box and whisker plot is also known as a five number summary. Minimum: the smallest number in a data set Maximum: the largest number in a data set First quartile: the median of the lower half of the data set Third quartile: the median of the upper half of the data set

Interquartile Range

Example Make a box and whisker plot to display the data of scores on some state tests: 411, 507, 387, 475, 507, 477, 484, 605, 496, 504, 529, 585, 459, 586, 508, 589. Half the tests are between which scores?

Example A trainer made a box and whisker plot of the number of seconds her clients could stand on a balance pod. Use the interquartile range to identify outliers. 302050407060 Number of Seconds on Balance Pod

Example A coach records the number of yards run by his players. Display the data using a box and whisker plot. Identify any outliers. 1, 22, 18, 34, 37, 89, 44, 43, 19, 28, 27, 23, 19, 21

Example The populations of the 17 largest US cities in 2005 are listed in millions. 0.7, 2, 0.9, 2.8, 1.5, 0.7, 1.3, 0.8, 0.7, 0.6, 0.8, 1.2, 3.8, 1.5, 0.7, 8.1, 0.9 Identify any outliers. Make a box and whisker plot of this data with and without the outlier. Which plot represents the data better?

Homework 1 st and 2 nd hour: Lesson 54 #1-15, 17, 19, and Lesson Practice a-e 3 rd hour: Lesson 54 #8-15, Lesson Practice a-e

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