Loudoun County Public Schools / Overview
Name: Date: Probability & Statistics – Ms. D’AmatoBlock: Chapters 1 – 4 Test Review PacketFor questions #1 & #2, in each description of data, identify the W’s. Name the variables and tell whether they are quantitative or categorical. For each quantitative variable name its unit of measure.1.)Medical researchers at a large city hospital investigating the impact of prenatal care on newborn health collected data from 882 births during 1998-2000. They kept track of the mother’s age, the number of weeks the pregnancy lasted, type of birth (cesarean, induced, natural), the level of prenatal care the mother had (none, minimal, adequate), the birth weight and sex of the baby, and whether the baby exhibited health problems (none, minor, major).Who: Cases: What: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Where: When: Why: How: 2.)A survey of autos parked in student and staff lots at a large university recorded the make, country of origin, type of vehicle (car, van, SUV, etc.) and age.Who: Cases: What: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Variable: Type: Units: Where: When: Why: How: Categorical vs. QuantitativeFor questions #3-8, classify the following variables as quantitative or categorical.3.)Gender4.)Age5.)Time6.)Length7.)Model of a car8.)Region of a country9.)Define ordinal variables.10.)Define identifier variables and provide examples.Bar Charts and Pie Charts:CompanyCases sold (millions)Market share (percent)Coca-Cola Co.4377.544.1Pepsi-Cola Co.3119.531.4Dr. Pepper/7-Up1455.114.7Cott Corp.310.03.1National Beverage205.02.1Royal Crown115.41.2Other347.53.411.) Using the soft drink information above, make a bar chart of the cases sold.12.) Now construct a pie chart of the market share using the soft drink information above.Contingency Tables:13.)The table below is Census Bureau data on the years of school completed by Americans of different ages. Many people under 25 years of age have not completed their education, so they are left out of the table.Years of school completed, by age, 2000 (thousands of persons)Age groupEducation25 to 3435 to 5455 +TotalDid not complete high school4,4749,15514,22427,853Completed high school11,54626,48120,06058,0871 to 3 years of college10,70022,61811,12744,4454 or more years of college11,06623,18310,59644,845Total37,78681,43556,008175,230Answer the following questions. Show all work and round to the nearest tenth.a.) What is the percent of people 25 years of age or older who have at least 4 years of college?b.) What is the marginal distribution of education level in percents?c.) What is the percent of people who are 25 to 34?d.) What percent of people aged 25 to 34 have completed 4 years of college?e.) What is the percent of people in the 55 and over age group who completed 4 or more years of college?f.) Find the conditional distribution of education level among 35 to 54-year-olds in percents.Histograms:14.)Here are the weights (in pounds) of 20 steers on an experimental feed diet:14013614217215317215670167166113171178159129112135174Create a histogram of the data. Please use 10 bins.Is the data unimodal, bimodal, or uniform? Is the histogram symmetric, skewed left, or skewed right? Are there any outliers? Stem-and-Leaf Display:15.)Using the same information from #14, create a stem-and-leaf display of the data.16.)The U.S. Food and Drug Administration limits the amount of caffeine in a 12-ounce can of carbonated beverage to 72 milligrams (mg). Data on the caffeine content of popular soft drinks are provided below. Create a split cell stem-and-leaf display of the data.BrandCaffeine(mg per 8-oz. serving)BrandCaffeine(mg per 8-oz. Serving)A&W Cream Soda20IBC Cherry Cola16Barq’s Root Beer15Kick38Cherry Coca-Cola23KMX36Cherry RC Cola29Mello Yello35Coca-Cola Classic23Mountain Dew37Diet A&W Cream Soda15Mr. Pibb27Diet Cherry Coca-Cola23Nehi Wild Red Soda33Diet Coke31Pepsi One37Diet Dr. Pepper28Pepsi-Cola25Diet Mello Yellow35RC Edge47Diet Mountain Dew37Red Flash27Diet Mr. Pibb27Royal Crown Cola29Diet Pepsi-Cola24Ruby Red Squirt26Diet Ruby Red Squirt26Sun Drop Cherry43Diet Sun Drop47Sun Drop Regular43Diet Sunkist Orange Soda28Sunkist Orange Soda28Diet Wild Cherry Pepsi24Surge35Dr. Nehi28TAB31Dr. Pepper28Wild Cherry Pepsi25 ................
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