Definitions
Population and Sample
Dot and Box Plots
Sampling
Identifying bias
100

Define Mean

What is the average of a set of data

100

Identify the population and the sample size for the below question. Tell if the data is a statistic or a parameter. A survey of 1353 American households found that 18% of the households own a computer.

What is population is all American Households. Sample Size: 1353 Statistic

100

Construct a dot plot with this data.

6, 5, 4, 2, 3, 4, 1

Find Mean, Median, Mode, and Range.

Dot Plot: Teacher Discretion

Mean: 3.6

Median: 4

Mode: 4

Range: 5

100

Which of the following is a random sample of students at your school?

a. 10 girls

b. 10 of your friends

c. 10 people you know

d. 10 names picked from a hat

d. 10 names picked from a hat

100

A sports writer wants to know which is the most popular college basketball team. Which group of people would give her the least biased answer?

A. every 4th person entering a college dining all

B. every 4th student at a freshman orientation

C. every 4th person entering a grocery store

C. every 4th person entering a grocery store

200
Define Median and Mode
Median is the middle number of a data set Mode is the number that occurs the most in a set of data
200

A recent survey of 2625 elementary school children found that 28% of the children could be classified obese.

Population: Elementary school children Sample Size 2625 Statistic

200

Construct a dot plot with the following points.

10, 15, 20, 23, 15, 16

Find the Mean, Median, Mode, and Range

Dot Plot: Teacher's Decretion

Mean: 14

Median: 15.5

Mode: 15

Range: 13

200

Which of the following is a biased sample of the houses in you neighborhood?

a. 20 houses randomly from a complete directory 

b. 20 houses generated randomly by a computer program

c. 20 houses randomly selected that have newspapers delivered

d. 20 houses randomly selected from a map of the neighborhood

b. 20 houses generated randomly by a computer program

200

Paul and his friends average their test grades and find that the average is 95. The teacher announces that the average grade of all of her classes is 83. Why are the averages so different?

Paul’s sample was biased. Maybe his friends studied more than others.

300

What is the interquartile range?

What is it is the range between Q1 and Q3.

300

Identify which information in the problem below is concerned with the sample and what is concerned with the population: A scientist is studying geese he tags 60 geese and releases them into the wild he then recaptures 100 geese, 12 of which are tagged.

What is Population is 60 out of the total population were tagged Sample is 12 out of 100 geese were tagged

300

Name another name for the Least Value and the Greatest Value?

Least Value: Minimum or Lower Extreme.

Greatest Value: Maximum or Upper Extreme.

300

Some students are taking surveys to find out if people will vote to fund the building of a new city park on election day. Which student is taking the most representative sample?

a. Levonia asks 20 parents of her friends. 

b. Quenton asks every other person leaving the library until he has asked 20 people. 

c. Ruth calls 20 randomly selected registered voters. 

d. Vince sends e-mails to 20 friends. 

c. Ruth calls 20 randomly selected registered voters.

300

Nancy hears a report that the average price of gasoline is $2.82. She averages the prices of stations near her home. She finds the average price of gas to be $3.03. Why are the averages different?

Nancy sampled only stations near her, not in other parts of the nation.

400

What is MAD, what does it tell you about a data set?

What is Mean Absolute Deviation. It is a measure of the distance the data is from the mean.

400

Estimate the population for the below scenario: A scientist tags 175 cheetahs and releases them into the wild. He then recaptures 100 cheetahs, 35 of which are tagged. Estimate the population.

What is 500

400

Does the Median of a box plot always need to be in the middle? Explain your answer.

No, because there could be more of the same data point on one side of the data, making the median not in the middle.

400

A random sample is taken of people who have bought tickets for a concert in the sample, 13 out of 150 say they will contribute $5.00 toward a music scholarship for a local high school student. If 3, 500 people come to the concert, approximately how much money will be raised for the scholarship?

a. about $300

b. about $700

c. about $1, 300

d. about $1, 500

a. about $300

400

Identify the problems with the below research proposal: I want to determine how many middle school students in the U.S. play video games. I plan to post a survey on the school website and request for students in my class to fill it out.

What is Small Sample Size: One school does not represent the entire US.

500

What is Valid?

Random Sample.

Accurate to the data.

Fair and equal for everyone.

500

A scientist is estimating the population of wild boars on fort stewart. He tags 15 wild boars and releases them into the wild. He then recaptures 50 wild boars, 5 of which were tagged. Identify the population: Estimate the population: Identify the sample size:

What is wild boars on fort stewart 150 Sample size 50

500

What is the five data summary to create a box and whisker plot? Give the five data summary for the below data set: 1,2,3,4,5,6, 7

What is Lower Extreme (minimum): 1

Q1: 2

Median: 3.5

Q3: 5

Upper Extreme: 7

500

Parents of students at a middle school were randomly selected to participate in a survey. Forty-two out of 60 parents who were surveyed support a proposal to buy new computers. There are a total of 456 parents with students at the middle school. Which is the best estimate of the number of those parents likely to support the new proposal?

a. 182

b. 319

c. 365

d. 438

b. 319

500

Carol wants to find out the favorite foods of students at her middle school. She asks the boys’ basketball team about their favorite foods. Is this bias or random sampling? Why?

It is a biased sample. Students who aren’t on the team won’t be selected.