What is another word that we used to describe the mean?
Average
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?
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.
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.
a. 4
b. 8
c. 12
d. 16
How do we find the mode?
Find the number that is repeated the most. (Highest frequency). If no numbers are repeated, there is no mode, and if there is a tie, the mode includes all of the numbers tied.
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?
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
outcome frequency
blues 25
red 18
yellow 17
How much greater is the experimental probability of landing on blue than the theorectical probability of landing on blue?
a. 1/4
b. 1/10
c. 1/12
d. 1/20
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
How do we find the median? (What happens if there is a tie?)
First put the numbers in order from smallest to largest, then find the middle number. If there are two middle numbers (even number of numbers) then find the average of these numbers.
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
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
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%
a. 1/12
b. 1/11
c. 7/12
d. 1/2
b. 1/11
How do we find the range and IQR?
The range is the maximum - minimum.
The interquartile range is the upper quartile - lower quartile
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?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
a. Mr. Perez will most likely not pull any black slips.
b. Mr. Perez is more likely to pull a red slip than a blue slip.
c. Adding another white slip would make this a non-uniform probability model.
d. 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 will most likely not pull any black slips.
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.
How man outcomes are possible?
a. 5
b. 6
c. 8
d. 9
b. 6
What is the MAD and what does it tell you about a data set?
The Mean Absolute Deviation. It tells us the average distance from the mean, which is a measure of spread.
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?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.
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.
b. likely
c. neither likely nor unlikely
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