7.SP.A-C Statistics & Probability

7.SP.1 Random Sampling & 7.SP.2 Drawing Inferences

100

Mrs. Nalder sends out an e-mail to students on her e-mail roster and offers them a full-size candy bar to participate in a short study. Mrs. Nalder accepts the first 20 students to respond to her e-mail. Will Mrs. Nalder's study be biased or unbiased? Explain your thinking.

What is biased, because ... 1.) 20 students is not a large enough sample 2.) Only students on her e-mail roster got the notification. 3.) Mrs. Nalder is paying her students to participate, so only students who really care about getting the candy bar will respond.

200

This sample is BIASED or UNBIASED. Explain your choice. Asking NMS 7th graders about their favorite flavor of ice cream by choosing names from a box containing the names of all of NMS 7th grade students.

What is unbiased, because every 7th grade student has an equal chance of being selected.

300

Is this sample BIASED or UNBIASED? Explain your choice. Asking people at a horror film about their favorite movie genre (category).

What is biased, because people at a horror film probably like horror movies.

400

Kohls sends a customer satisfaction survey to a randomly selected sample of their Kohls Rewards customers. Is this survey likely to be representative of all Kohls customers?

What is the sample is not representative of all customers, because they only surveyed rewards customers who are probably satisfied with Kohls, rather than just everyone that shops at Kohls.

500

In April of 2013, Arbitron/Edison did a study on the Average Number of Facebook Friends, by Age Group. Given the following results, what inferences can you make about a person's age and the average number of Facebook friends he or she has? 12+: 303 35-44: 209 12-17: 506 45-54: 183 18-24: 510 55-64: 113 25-34: 328 65+: 115

What is ... 1) On average, people between the ages of 18-24 have the most Facebook friends. 2.) On average, people between the ages of 55-64 have the least amount of Facebook friends. 3.) The number of Facebook friends a person has drops dramatically when a person reaches the age of 35. 4.) The average number of Facebook friends is very close for the age groups of 12-17 and 18-24. The same is true for the age groups 55-64 and 65+.

7.SP.3 Difference Between Centers & 7.SP.4 Comparing Two Populations

100

The RBIs (Runs Batted In) for 6 players from the 2014 Ford Thunderbirds and Keithley Kolts are shown. Use the data to answer the following question. Ford Thunderbirds: 18, 9, 25, 44, 32, 20 Keithley Kolts: 5, 21, 28, 40, 21, 19 Find the range of each set of data (for each team)? (Range is largest minus smallest data for each set).

What is ... Ford Thunderbirds' range is 35. Keithley Kolts' range is 35. 

200

How do you find the mean?

Add up all the data and then divide by how many data there are.

300

How do you find Mode?

What ever data happens the most.

400

How do you find median?

Line up the data from least to greatest. Then find the middle number. 

If there are two middle numbers, take the mean of those two numbers. 

500

The RBIs (Runs Batted In) for 6 players from the 2014 Ford Thunderbirds and Keithley Kolts are shown. Use the data to answer the following question. Ford Thunderbirds: 18, 9, 25, 44, 32, 20 Find the mean, median (middle number when in order), and mode (data that happens the most) for each team's data.

What is ... Ford: mean = 24.67; median = 22.5; mode = no mode

7.SP.5 Probability Between 0 and 1 & 7.SP.6 Experimental Probability

100

Given the following outcome, determine if it is impossible, less likely, equally likely, more likely, or certain. Rolling an odd number on a standard die.

What is equally likely?

200

Given the following outcome, determine if it is impossible, less likely, equally likely, more likely, or certain. On a spinner that is three-fourths blue and one-fourth red, spinning and landing on blue.

What is more likely?

300

Given the following outcome, determine if it is impossible, less likely, equally likely, more likely, or certain. Then state the probability as a number. Picking a Queen from a standard deck of cards.

What is less likely? ; 1/13

400

Given the following outcome, determine if it is impossible, less likely, equally likely, more likely, or certain. Then state the probability as a number. Mrs. Nalder going to Rio in 2012 to compete in gymnastics at the Olympic Games.

What is IMPOSSIBLE?!! ; 0

500

Given the following outcome, determine if it is impossible, less likely, equally likely, more likely, or certain. Then state the probability as a number. Rolling a number less than 7 on a number cube.

What is CERTAIN?!! ; 1

7.SP.7 Developing Probability Models

100

I flip a coin 60 times. I flipped heads 25 times and tails 35 times. a) What is the experimental probability of flipping heads? b) What is the theoretical probability of flipping heads?

What is ... a) 5/12 experimental is what actually happened  b) 1/2Theoretical is what should happen 

200

Given a spinner with six equal sections numbered 1 - 6, find the simple probabilities of each event. Write your answers as fractions and percents. P(odd) = __________

What is 1/2 or 50%?

300

Given a spinner with six equal sections numbered 1 - 6, find the simple probabilities of each event. Write your answers as fractions and percents. Round to the nearest hundredth. P(5) = __________

What is 1/6 or 16.67%?

400

Given a spinner with six equal sections numbered 1 - 6, find the simple probabilities of each event. Write your answers as fractions and percents. P(multiple of 2) = __________

What is 1/2 or 50%?

500

Given a spinner with six equal sections numbered 1 - 6, find the simple probabilities of each event. Write your answers as fractions and percents. Round to the nearest hundredth. P(composite number) = __________ (composite means the oppostie of prime)

What is 1/3 or 33.33%

7.SP.8 Compound Events

100

Determine if the pair of compound events is INDEPENDENT or DEPENDENT. Choosing a blue M&M from a bag, eating it, then choosing another blue M&M.

What is DEPENDENT? It depends on what you pick first what options are left for the 2nd event.

200

Rolling a standard die then spinning a spinner with four equal sections numbered 1 through 4.

What is INDEPENDENT? Regardless what you roll, it won't affect the spinner.

300

In a bag of money, there are 8 $1 bills, 6 $5 bills, 4 $10 bills, and 2 $20 bills. Find the probability of the following outcome. Write your answer as a fraction and percent. P($20 then $5 bill) = __________

What is 3/100 or 3%? 

2/20 x 6/20 = 12/400 = 3/100 

400

In a bag of money, there are 8 $1 bills, 6 $5 bills, 4 $10 bills, and 2 $20 bills. Find the probability of the following outcome. Write your answer as a fraction and percent. P($1 or $10) = __________

What is 3/5 or 60%?

8 + 4 = 12 out of 20 chances. 12/20 = 3/5

500

Use a tree diagram or list to show the sample space and total outcomes for the following compound events. Then answer the probability questions. Write your answers as a fraction and percent. Flipping a coin and rolling a die Total Outcomes = __________ P(Tails, 4) = __________ P(Heads, Odd) = __________

What is ... Total Outcomes = 12 P(Tails, 4) = 1/12 or 8.33% P(Heads, Odd) = 1/4 or 25%