Sampling
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
Phyllis is comparing the daily high temperatures in two cities.
Chicago, Il
40, 39, 41, 38, 42, 44, 45, 37, 48, 46
San Francisco, CA
59, 66, 57, 63, 67, 61, 70, 62, 61, 64
What is the mean temperature for Chicago, IL?
42
Phyllis is comparing the daily high temperatures in two cities.
Chicago, Il
40, 39, 41, 38, 42, 44, 45, 37, 48, 46
San Francisco, CA
59, 66, 57, 63, 67, 61, 70, 62, 61, 64
Which description best compares the two data sets?
a. Both data sets have a similar mean and variability.
b. Each data set has a much different mean and variability than the other data set.
c. Both data sets have similar means buy one data set has a much high variability.
d. Both data sets have similar variability but one data set has a much higher mean.
d. Both data sets have similar variability but one data set has a much higher mean.
Which of the following events has the greatest theoretical probability?
a. Tossing a 5 on the number cube labeled 1-6.
b. tossing a penny and having it land tails up.
c. Spinning a 7 on a spinner with 5 sections labeled 2, 4 , 6, 8, and 10.
d. Pulling a green ribbon randomly from a bag with 1 red, 1 yellow, and 3 green ribbons.
d. Pulling a green ribbon randomly from a bag with 1 red, 1 yellow, and 3 green ribbons.
Delcon spins a spinner two times with the number 1-4 on it. How many outcomes are possible?
a. 4
b. 8
c. 12
d. 16
d. 16
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
Phyllis is comparing the daily high temperatures in two cities.
Chicago, Il
40, 39, 41, 38, 42, 44, 45, 37, 48, 46
San Francisco, CA
59, 66, 57, 63, 67, 61, 70, 62, 61, 64
What is the mean temperature for San Francisco, CA?
63
Neighborhood A
21, 24, 36, 18, 35, 15, 12, 16, 14, 28
Neighborhood B
7, 4, 8, 10, 5, 8, 4, 6, 3, 5
Which of the following describes the relative mean variability of the data for Neighborhood A as compared to the data for Neighborhood B?
a. both are relatively high
b. both are relatively low
c. the mean is relatively high and the variability is relatively low
d. the variability is relatively high and the mean is relatively low.
b. both are relatively low
A spinner has three equal sections. The following tables gives the results of 60 spins on the spinner.
outcome frequency
blues 25
red 18
yellow 17
What is the experimental probability of blue?
a. 1/4
b. 1/12
c. 5/12
d. 6/20
c. 5/12
Delcon spins a spinner two times with the number 1-4 on it.
What is the probability of landing on the number 1 with the first spin and 2 with the second spin?
a. 1/16
b. 1/12
c. 1/8
d. 1/4
a. 1/16
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.
Phyllis is comparing the daily high temperatures in two cities.
Chicago, Il
40, 39, 41, 38, 42, 44, 45, 37, 48, 46
San Francisco, CA
59, 66, 57, 63, 67, 61, 70, 62, 61, 64
The mean temperature for Chicago, IL is how many degrees Fahrenheit colder than the mean temperature for San Francisco, CA?
a. 18
b. 19
c 20
d. 21
d. 21
The data show the number of floors in apartment buildings in two different neighborhoods.
Neighborhood A
21, 24, 36, 18, 35, 15, 12, 16, 14, 28
Neighborhood B
7, 4, 8, 10, 5, 8, 4, 6, 3, 5
Which of the following best describes the overlap in the data sets?
a. no overlap
b. slight overlap
c. moderate overlap
d. complete overlap
a. no overlap
The following outcomes gives the results of tossing a number cube 50 times.
2 5 3 6 5 4 6 6 3 1
4 2 2 4 1 6 5 3 3 6
5 3 2 5 4 6 6 1 3 5
3 1 4 4 3 1 2 5 5 2
6 4 1 3 3 2 1 1 3 6
Which of the following is the experimental probability of tossing a 3 expressed as a percent?
a. 11%
b. 17%
C. 20%
d. 22%
c. 20%
Destiny has a bag with 3 green, 4 red, and 5 blue marbles. Destiny will pick 2 marbles form the bag, one at a time without looking. What is the probability of Destiny picking a red marble and a green marble?
a. 1/12
b. 1/11
c. 7/12
d. 1/2
a. 1/12
a. about $300
b. about $700
c. about $1, 300
d. about $1, 500
a. about $300
Phyllis is comparing the daily high temperatures in two cities.
Chicago, Il
40, 39, 41, 38, 42, 44, 45, 37, 48, 46
San Francisco, CA
59, 66, 57, 63, 67, 61, 70, 62, 61, 64
What is the interquartile range for Chicago, IL?
6
Josh's neighborhood started two clubs --- one for movies and one for books. The ages of the book club members are 48, 27, 32, 56, 59, 43, 39, 28, 28, 42, 71, and 55 years. The ages of the movie club members are 24, 27, 18, 26, 34, 32, 42, 45, 16, 23, 19, and 30 years.
What is the range of the overlap between the two sets of data?
a. between 18 and 45 years of age
b. between 18 and 71 years of age
c. between 27 and 45 years of age
d. between 27 and 71 years of age
c. between 27 and 45 years of age
Mr. Perez designs a probability model to help him predict which color car high customers will want to buy. He puts equal numbers of red, black, white, gray, and blue slips of paper into a bag to represent all the different possible car colors. Which of the following statements about the model are true?
a. Mr. Perez is unlikely likely to pull a black slips.
b. Mr. Perez is more likely to pull a red slip than a blue slip.
c. The results of Mr. Perez's experiment are likely to exactly match the frequency with which his customers select each color car.
a. Mr. Perez is unlikely to pull a black slips.
A bag hold a number of ribbons as given in the table below.
color number of ribbons in bag
black 1
blue 3
green 4
yellow 2
Jolene pulls 3 colored ribbons from a bag. What is the probability that she pulls a blue, and a yellow, and a black ribbon?
a. 5/600
b. 6/25
c. 6/10
d. 3/500
d. 3/500
a. 182
b. 319
c. 365
d. 438
b. 319
Phyllis is comparing the daily high temperatures in two cities.
Chicago, Il
40, 39, 41, 38, 42, 44, 45, 37, 48, 46
San Francisco, CA
59, 66, 57, 63, 67, 61, 70, 62, 61, 64
What is the IQR for San Francisco, CA?
5
Josh's neighborhood started two clubs --- one for movies and one for books. The ages of the book club members are 48, 27, 32, 56, 59, 43, 39, 28, 28, 42, 71, and 55 years. The ages of the movie club members are 24, 27, 18, 26, 34, 32, 42, 45, 16, 23, 19, and 30 years.
How do the medians of each data set compare to the overlap in the data sets?
a. Neither median is included in the overlap.
b. Only the median age of the book club members is included in the overlap.
c. Only the median age of the move club members is included in the overlap.
d. Both medians are included in the overlap.
d. Both medians are included in the overlap.
For each situation, tell whether the situation is unlikely, likely, or equally likely.
a. Drawing a 10 from a bag with 100 slips of paper numbered 1-100.
b. Rolling a number less than 5 on a number cube labeled with the numbers 1-6.
c. Drawing a red marble from a bag containing 8 red and 8 blue marbles.
a. unlikely
b. likely
c. equally likely
A bag hold a number of ribbons as given in the table below.
color number of ribbons in bag
black 1
blue 3
green 4
Jolene pulls a colored ribbon from a bag and does not replace it. She then draws a second ribbon.
What is the probability that Jolene draws two blue ribbons?
a. 3/28
b. 9/64
c. 9/56
d. 6/25
a. 3/28