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 = 6F.
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