#### Transcript AP-Stats-1.2-Data-Classificationx

AP Statistics Examination May 13, 2015 - Noon The following major topics are covered: exploring data (describing patterns and departures from patterns); sampling and experimentation (planning and conducting a study); anticipating patterns (producing models using probability and simulation); and statistical inference (estimating population parameters and testing hypotheses) Topic Breakdown (approx) 25% Data Analysis 15% Experimental Design 25% Probability 25% Inference Two Parts (equally weighted): 1) Multiple Choice…..90 minutes -40 questions -LOTS of READING -Predominately CONCEPTUAL (minimal computation) 2) Free Response……90 minutes -4 to 7 Open-Ended prompts (75% ) -1 Investigative Task (25%) -Lots of WRITING apcentral.collegeboard.com B/W 8/18 Complete each statement using one of the following terms. (Not all terms will be used) Statistic Nominal Level Descriptive Data Statistics Population Quantitative Qualitative Parameter Sample Inferential 1) ____________________consists of information coming from observation, counts, measurements or responses. 2) ____________________ is the science of collecting, organizing, analyzing and interpreting data in order to make decisions. 3) A____________________is a collection of all outcomes, responses, measurements or counts that are of interest. 4) A____________________is a subset of a population. 5) A____________________is a numerical description of a population characteristic. 6) A____________________is a numerical description of a sample characteristic. 7) _____________________ statistics is the branch that involves the organization, summarization, and display of data. 8) ____________________statistics is the branch that involves using a sample to draw conclusions about a population. 9) ____________________data consist of attributes, labels or nonnumerical entries 10) ____________________data consist of numerical measurements or counts B/W KEY 8/18 Complete each statement using one of the following terms. (Not all terms will be used) Statistic Nominal Level Descriptive Data Statistics Population Quantitative Qualitative Parameter Sample Inferential 1) DATA consists of information coming from observation, counts, measurements or responses. 2) STATISTICS is the science of collecting, organizing, analyzing and interpreting data in order to make decisions. 3) A POPULATION is a collection of all outcomes, responses, measurements or counts that are of interest. 4) A SAMPLE is a subset of a population. 5) A PARAMETER is a numerical description of a population characteristic. 6) A STATISTIC is a numerical description of a sample characteristic. 7) DESCRIPTIVE statistics is the branch that involves the organization, summarization, and display of data. 8) INFERENTIAL statistics is the branch that involves using a sample to draw conclusions about a population. 9) QUALITATIVE data consist of attributes, labels or nonnumerical entries 10) QUANTITATIVE data consist of numerical measurements or counts Section1.2 – Data Collection SWBAT: Distinguish between qualitative and quantitative data and classify data using the four levels of measurement. TWO TYPES OF DATA When conducting a study, it is important to know the TYPE OF DATA INVOLVED because this will determine which STATISTICAL PROCEDURES can be used… QUALITATIVE DATA QUANTITATIVE DATA •Descriptions •Observed but not measured •Categories •Numerical measurements or counts •Data which can be measured •Colors, textures, smells, tastes, appearance, beauty, labels, etc. •Length, height, area, volume, weight, speed, time, temperature, sound levels, cost, members, ages, etc. •Can sometimes be numerical, which represent a label ex: Jersey # You Try…. Classify each of the following types of data as either qualitative or quantitative. • Brand names of shoes in a consumer survey. • The blood types of individuals. • Heights of students • The high temperature in Anchorage, Alaska on each day of the year • The responses of people to the question, “Will you vote to reelect your President?” • List of house numbers on a street. • Ages of 350 employees in a hospital. You Try…. KEY Classify each of the following types of data as either qualitative or quantitative. • Brand names of shoes in a consumer survey. QUALITATIVE • The blood types of individuals. QUALITATIVE • Heights of students QUANTITATIVE • The high temperature in Anchorage, Alaska on each day of the year QUANTITATIVE • The responses of people to the question, “Will you vote to reelect your President?” QUANTITATIVE • List of house numbers on a street. QUALITATIVE • Ages of 350 employees in a hospital. QUANTITATIVE FOUR LEVELS OF MEASUREMENT Another characteristic of data is its LEVEL OF MEASUREMENT. The level of measurement determines which STATISTICAL CALCULATIONS are meaningful. 1) NOMINAL LEVEL Put in a category. •Data are qualitative only. •Data categorized using names, labels, or qualities. •No mathematical computation made at this level. EX of data set: Types of Music Played by a Radio Station Pop Modern Rock Contemporary Jazz Hip Hop FOUR LEVELS OF MEASUREMENT, cont’d 2) ORDINAL LEVEL Put in a category & put in order. •Data are qualitative or quantitative. •Data can be arranged or ranked. •No mathematical computation made at this level EX of data set: Movie Ratings G PG PG-13 R NC-17 General Audiences Parental Guidance Parents Strongly Cautioned Restricted No One Under 17 FOUR LEVELS OF MEASUREMENT, cont’d 3) INTERVAL LEVEL Put in a category, put in order, & find differences between values. •Data are quantitative only. •Zero is NOT an inherent zero (simply a position on a scale). •Calculate meaningful differences between data entries. EX of data set: Avg. Monthly Temps for Sacramento, CA. For instance, 71.5 – 65.5 = 6F. So, June is 6 warmer than May. FOUR LEVELS OF MEASUREMENT, cont’d 4) RATIO LEVEL Put in a category, put in order, find differences between values & find ratios of values. •Data are quantitative only. •Zero is an inherent zero (calculated as a zero). •Can express one data value as a multiple of another. EX of data set: Avg. Monthly Precipitation for Sacramento, CA. For instance, 1.0/0.5 = 2. So, there is twice as much rain in April as in May. FOUR LEVELS OF MEASUREMENT, cont’d • When identifying a data set’s level of measurement, use the highest level that applies. Case Study In Groups of 2, READ through the case study regarding Nielsen Ratings on page 17. Complete exercises 1 - 8 Case Study KEY… 1. Yes. A rating of 8.4 is equivalent to 9,357,600 (8.4 x 1,114,000) households which is twice the number of households at a rating of 4.2. 2. 3. Program Name and Network 4. Rank and Rank Last Week. Data can be arranged in increasing or decreasing order. 5. Day, Time. Data can be chronologically ordered. Hours or minutes. 6. Rating, Share, Audience. 7. Shows are ranked by rating. Share is not arranged in decreasing order. 8. A decision of whether a program should be cancelled or not can be made based on the Nielsen ratings. 8/18 EXIT TICKET: Name_______________ Period__ 1) In January 2014, Forbes Magazine chose the 10 best U.S. cities to get a job. To gather the rankings, Forbes used four data points: median income, median monthly homeowner costs, population growth from 2010-2012, and unemployment rate. (source: Forbes) Forbes Top Five U.S. Cities for Jobs 1. Austin, TX 2. Washington, DC 3. Fortworth, TX 4. Denver, CO 5. Charlotte, NC In this list, what is the level of measurement? Justify your response. 2) Complete the following table by adding in the level of measurement from least to highest. Then put a YES in each column that applies to the level and put “—” when it does not apply. Level of measurement Put data in categories Arrange data in order Subtract data values Determine if one data value is a multiple of another