1 Welcome to Interactive ChalkboardStatistics and Probability Collecting and Analyzing Data Pre-Algebra Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio Welcome to Interactive Chalkboard
2 Box-and-Whisker PlotsLesson 12-3 Box-and-Whisker Plots Contents
3 Example 1 Draw a Box-and-Whisker Plot Example 2 Interpret Data Example 3 Compare Two Sets of Data Lesson 3 Contents
4 Paralegal/Legal AssistantJobs The projected number of employees in 2008 in the fastest-growing occupations is shown. Display the data in a box-and-whisker plot. Fastest-Growing Jobs Occupation Jobs (1000s) Computer Engineer 622 Desktop Publishing 44 Computer Support 869 Paralegal/Legal Assistant 220 Systems Analyst 1194 Home Health Aide 1179 Database Administrator 155 Medical Assistant 398 Source: U.S. Census Bureau Example 3-1a
5 Step 1. Find the least and greatest numberStep 1 Find the least and greatest number. Then draw a number line that covers the range of the data. Example 3-1b
6 Step 2 Find the median, the extremes, and the upper and lower quartiles. Mark these points above the number line. Example 3-1c
7 Step 3 Draw a box and the whiskers.Answer: Example 3-1d
8 Transportation The data listed below represents the time, in minutes, required for students to travel from home to school each day. Display the data in a box-and-whisker plot. Answer: Example 3-1e
9 What is the smallest percent of sunny days in any state?Weather The box-and-whisker plot below shows the average percent of sunny days per year for selected cities in each state. What is the smallest percent of sunny days in any state? Answer: The smallest percent of sunny days in any state is 23%. Example 3-2a
10 Weather The box-and-whisker plot below shows the average percent of sunny days per year for selected cities in each state. Half of the selected cities have an average percent of sunny days under what percent? Answer: Half of the selected cities have an average percent of sunny days under 56%. Example 3-2b
11 Weather The box-and-whisker plot below shows the average percent of sunny days per year for selected cities in each state. What does the length of the box in the box-and-whisker plot tell about the data? Answer: The length of the box is short. This tells us that the data values are clustered together. Example 3-2c
12 a. What is the smallest amount spent per month on clothing?Retail The box-and-whisker plot below shows the average amount spent per month on clothing. a. What is the smallest amount spent per month on clothing? b. Half of the monthly expenditures on clothing are under what amount? Answer: $20 Answer: $80 Example 3-2d
13 Answer: The data is very spread out.c. What does the length of the box-and-whisker plot tell about the data? Answer: The data is very spread out. Example 3-2e
14 Trees The average maximum height, in feet, for selected evergreen trees and deciduous trees is displayed. How do the heights of evergreen trees compare with the heights of deciduous trees? Example 3-3a
15 Answer: Most evergreen trees are taller than most deciduous trees.Most deciduous trees range in height between 25 and 60 feet. However, some are as tall as 80 feet. Most evergreen trees range in height between 50 and 70 feet. However, some are as tall as 80 feet. Answer: Most evergreen trees are taller than most deciduous trees. Example 3-3b
16 Answer: Most compact cars have a higher gas mileage than most sedans.Cars The average gas mileage, in miles per gallon, for selected compact cars and sedans is displayed. How do the gas mileages of compact cars compare with the gas mileages for sedans? Answer: Most compact cars have a higher gas mileage than most sedans. Example 3-3c