Section 12.3 Box-and-Whisker Plots Objectives: Find the range, quartiles, and interquartile range for a data set. Make a box and-whisker plot for a data set. Standards: 2.6.8E Analyze and display data in box- and-whisker plots.

How to make a Box-and-Whisker Plot on a piece of paper: Arrange the data in order from least to greatest on a number line Compute the median of the data (Q2) Compute the median of the lower half of the data (Q1) and the upper half of the data (Q3) Draw vertical line segments through all three medians Draw line segments to connect the tops and bottoms of all three vertical lines Draw closed circles at the minimum and maximum points of data

*Ex. 2 Find the minimum and maximum values, quartiles, range, and interquartile range for the set of data below. Identify any possible outliers. 4, 7, 9, 31, 34, 2, 35, 37, 24, 34, 31, 50, 11, 33, 36, 2, 8, 13, 52, 57,60, 69, 78, 83

How to make a Box-and-Whisker Plot with your Graphing Calculator: STAT, EDIT, L1 (enter your given values), 2nd STAT PLOT, HIGHLIGHT ON & then hit ENTER, HIGHLIGHT the box-and-whisker plot & then hit ENTER, X LIST. Make sure it has L1 , FREQ: 1, then GRAPH. If you can not see your Box-and-Whisker Plot, then adjust your WINDOWS accordingly! If you are comparing 2 Box-and-Whisker Plots, you will need to use L2 and you will need to turn on another STAT PLOT!!

* Ex 2 Refer to the precipitation data below. a). Make a box-and-whisker plot for the amount of precipitation in each city. b). Compare the box-and-whisker plots. Month Chicago L.A. January 1.53 2.40 February 1.36 2.51 March 2.69 1.98 April 3.64 0.72 May 3.32 0.14 June 3.78 0.03 July 3.66 0.01 August 4.22 0.15 September 3.82 0.31 October 2.41 0.34 November 2.92 1.76 December 2.47 1.66

Writing Activities

PSSA WARM-UP QUESTION  Algebra II - Chp. 12 Standard 2.6.11 A Complete statistical experiments. The final grades in mathematics of 35 students at Souderton High School are shown at the right. Organize the data in a table (interval, tally, frequency) and display it in a histogram. 82 93 87 74 94 83 77 88 86 65 89 72 68 77 82 98 97 86 93 71 62 75 97 82 84 76 94 90

Standard 2.6.11 I Use the normal curve. The grades on Mr. Simpson’s Algebra II final exam had a normal distribution with a mean score of 85, and a standard deviation of 3 points. A student earned a B+ or better if he scored 88 or greater. How can Mr. Simpson use the properties of the normal curve and the statistics mean and standard deviation to find the portion of the class earning a B+ or better?

Review of Box-and-Whisker Plots

Homework Integrated Algebra II- Section 12.3 Level A Honors Algebra II- Section 12.3 Level B