Section 12.3 Section 12.3 Box-and-Whisker PlotsBox-and-Whisker Plots

Objectives: Find the range, quartiles, and Objectives: Find the range, quartiles, and interquartile range for a data set. Make a box interquartile range for a data set. Make a box

and-whisker plot for a data set.and-whisker plot for a data set.

Standards: 2.6.8E Analyze and display data in box- Standards: 2.6.8E Analyze and display data in box- and-whisker plots.and-whisker plots.

How to make a Box-and-Whisker Plot on a piece of paper:

1. Arrange the data in order from least to greatest on a number line2. Compute the median of the data (Q2)3. Compute the median of the lower half of the data (Q1) and the upper

half of the data (Q3)4. Draw vertical line segments through all three medians5. Draw line segments to connect the tops and bottoms of all three

vertical lines6. 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 ActivitiesWriting Activities

PSSA WARM-UP QUESTION PSSA WARM-UP QUESTION Algebra II - Chp. 12Algebra II - Chp. 12

Standard 2.6.11 A Complete statistical experiments.Standard 2.6.11 A Complete statistical experiments.

The final grades in mathematics of 35 students at Souderton High The final grades in mathematics of 35 students at Souderton High School are shown at the right. Organize the data in a table School are shown at the right. Organize the data in a table (interval, tally, frequency) and display it in a histogram.(interval, tally, frequency) and display it in a histogram.

82 93 87 74 94 83 77 82 93 87 74 94 83 77 88 86 65 89 72 68 77 88 86 65 89 72 68 77 82 98 97 86 93 71 62 82 98 97 86 93 71 62 75 97 82 84 76 94 9075 97 82 84 76 94 90

Standard 2.6.11 I Use the normal Standard 2.6.11 I Use the normal curve.curve.

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

Review of Review of Box-and-Whisker PlotsBox-and-Whisker Plots

Homework

Integrated Algebra II- Section 12.3 Level A

Honors Algebra II- Section 12.3 Level B