Warm-Up Find the Mean Median and Mode of the following data sets: 1. 12, 10, 9, 11, 12, 5, 7, 9, 8,...
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Transcript of Warm-Up Find the Mean Median and Mode of the following data sets: 1. 12, 10, 9, 11, 12, 5, 7, 9, 8,...
Warm-Up• Find the Mean Median and Mode of the following
data sets:1. 12, 10, 9, 11, 12, 5, 7, 9, 8, 10, 15, 9, 62. 12, 10, 9, 11, 12, 5, 7, 9, 8, 10, 15, 9, 6, 27, 14. Find the mean, median and mode and range of
these test scores:54, 65, 55, 78, 23, 32, 58, 95, 75, 75, 68
5. Draw a Box and Whisker Plot of this classes test scores.
Homework Due Today
• Find the product. Write your answer using only positive exponents.
1. (5-4)(57) 2. (11-2)(11-4) 3. (x-12)(x5)
• Approximate the square root to the nearest integer.4. -√10 5. √68 6.√145
Homework Due tomorrow• A survey was conducted to find the percent of Americans
who enjoy camping. The surveyor randomly selected 20 individuals from each of the 50 states and asked, “Do you enjoy, greatly enjoy, or not enjoy camping in the woods, where the air is fresh and clean?” How much should you trust the results of the survey?1. Identify the sampling method and
populations.2. Do you think the sample chosen was
representative of the population? Explain.3. Do you think the question is biased? If so,
explain how it would affect the results of the survey?
Samples and Surveys
Monday February 21, 2011
Today I can…
• classify data and analyze samples and surveys.
Stop-and-Jot
• Think of a question that you would like to ask the entire school!
• How long would it take to pose the question to everyone in the school?
• Hypothesize different ways that you can conduct a fair survey that would not include every student at the school.
Recall: Organizing Data
• Frequency Table• Stem-and-Leaf Plot
Recall: Displaying DataType of display
Type of data Horizontal axis
Vertical axis
Histogram Numerical data
Numeric range Frequency
Bar graph Categorical data
categories Frequency
Line graph Change over time
time The thing that is changing
Box-and-whisker plot
numerical Range of numeric values
N/A
Samples and Surveys
• Population: The ____________ being studied.
Samples
• Sample: The ___ ____________being studied.
• Biased Sample: A sample that is not a good representation of the ___________.
Identifying Biased Samples
• A radio station manager chooses 1500 people from the local phone book to survey about their listening habits.
• An advice columnist asks her readers to write in with their opinions about how to hang the toilet paper on the roll.
• Surveyors in a mall choose shoppers to ask about product preferences.
Sampling Methods
• Random sample: every member of the population has __________________ of being chosen.
• Systematic sample: According to a ____ or a ____________.
• Stratified sample: At __________ from randomly chosen ______________.
Identify the sampling method used
• An exit poll is taken of every tenth voter.• In a statewide survey, five counties are
randomly chosen and 100 people are randomly chosen from each county.
• Students in class write their names on strips of paper and put them in a hat. The teacher draws five names.
Practice
• Timed Guided Practice
#1• Identify the population
and sample. Give an example of why the sample could be biased:
• A record store manager asks customers who make a purchase how many hours of music they listen to each day.
Population Sample Bias?
#2• An eighth-grade student council member polls
classmates about a new school mascot.
Population Sample Bias?
#3
• Identify the sampling method used:• In a county survey, Democratic Party
member whose names begin with the letter D are chosen.
a. Biasedb. Randomc. Systematicd. Stratified
#4
• A telephone company randomly chooses customers to survey about its service.
a. Biasedb. Randomc. Systematicd. Stratified
#5
• A high school randomly chooses three classes from each grade and then draws three random names from each class to poll about lunch menus.
a. Biasedb. Randomc. Systematicd. Stratified
#6
• Choose the best way to display this data:
• Favorite Food
a. Line graphb. Bar graphc. Histogramd. Box-and-whisker plot
#7
• Gas prices over the last month.a. Line graphb. Bar graphc. Histogramd. Box-and-whisker plot
# 8 What type of data does a bar graph show?
#9 What type of data does a line graph show?
Mean, Median, Mode
# 10 What is the mean of the following set of data:
• 1,1,2,3,4,5,5,5,6,6,7
• #11 What is the median?
#12 What is the mode?
# 13 What is the range?
#14 list the 5 elements of a box-and-whisker plot.
Choice boardFor at least two types of
data: write a 2-3 question survey. Make a hypothesis about the results, tell me what type of display you would use, justify your
reasoning and determine the population**
Make a PowerPoint presentation on organizing
and displaying data.Be sure to use key
vocabulary words and give plenty of examples!**
Practice problems out of the text book and practice book (Page 176 1-13, Page 177
19 and 20, practice exercises 4-1) *
Write 5 word problems or scenarios that are
examples of biased samples.
Write 5 that are examples of unbiased samples.**
Wild Card! Journal entry: write a 2-3 page journal entry about organizing and displaying data. Include appropriate
vocabulary, common mistakes, examples in your
journal.***
Answer a question comparing two sets of data,
represented by Box-and-whisker plots and given the
context of the data collection.**
Create a picture book or a brochure about creating
affective surveys, making a hypothesis, organizing the data, and displaying and
analyzing the data. *
Write a lesson on surveys and samples, create a
hands-on activity that would engage your students and help them to understand survey samples and data
collection.***
Exit Ticket• Identify the population and sample. Give a reason why the
sample could be biased.• 1. A high school principal asks the first three people who leave
the school play whether they liked it.
• Identify the sampling method used.• 2. At a baseball game, 10 sections are chosen at random and 10
random people from each section are polled.
• 3. A telemarketer calls the people that have a last name beginning with H.