Binomial Probability
A fair coin is flipped once. What is the probability of getting exactly 1 head?
50%
What are the coefficients of (a + b)5 in Pascal's triangle?
1 5 10 10 5 1
Determine which measure of central tendency best represents the following scenario:
A election to determine the next class president
Mode
A data set consists of the numbers 5, 5, 5, 5, 5. What is the standard deviation of this data set?
0
A data set has the numbers: 3, 5, 7, 9, 11.
Find the minimum, maximum, median, Q1, and Q3
Min - 3
Max - 11
Q1 - 5
Q2 - 7
Q3 - 9
A fair coin is flipped 3 times. What is the probability of getting exactly 2 heads?
37.5%
Expand the following: (x + 4)2
x2 + 8x + 16
Determine which measure of central tendency best represents the following scenario:
The age of employees at Costco, which includes some ancient, old men.
Median
The test scores of 5 students are: 70, 75, 80, 85, 90. Calculate the standard deviation.
7.07
Determine all potential outliers of the following data set:
451, 65, 121, 4, 100, 303, 261, 298, 891, 371
891
A basketball player makes free throws with a probability of 70%. If she takes 5 shots, what is the probability she makes exactly 3?
31%
Expand the following: (x2 + 5)4
x8 + 20x6 + 150x4 + 500x2 + 625
Find the mean, median, and mode of the following data set:
4, 7, 20, 3, 5, 10, 7
Mean: 8
Median: 7
Mode: 7
Two classes take a test:
Class A - 45, 70, 71, 80, 96, 102
Class B - 74, 75, 76, 77, 78, 80
Which class had more consistent scores, explain your reasoning?
Class B - More clustered scores means a smaller standard deviation, therefore they were more consistent.
Data set: 2, 4, 5, 7, 8, 12, 15, 18
Find the IQR.
Determine the lower and upper fences for outliers.
Identify any outliers.
IQR - 9
Upper Fence - 27 -> No Outliers
Lower Fence - -9 -> No Outliers
A factory produces items with a 2% defect rate. If 20 items are randomly selected, what is the probability that exactly 1 is defective?
27%
Find the coefficient of x3y2 in (2x + 3y)5
720
Find the mean, median, and mode of the following data:
10000, 1000, 100, 1000, 10, 10000, 1000, 100, 10, 1000
Mean: 2422
Median: 1000
Mode: 1000
Find the standard deviation of the data set: 2, 4, 4, 4, 5, 5, 7, 9.
2
The following data represents hours studied by 12 students:
1, 2, 2, 3, 4, 5, 5, 6, 8, 9, 12, 20
Construct a box-and-whisker plot.
*Observe on board*
A student guesses on a multiple choice quiz consisting of 10 questions (each with 5 possible answers). What is the probability of getting exactly 2 correct?
30%
Expand the following: (2xy + 3x3)3
8x3y3 + 36x5y2 + 54x7y + 27x9
Two classes took the same quiz:
Class A: 72, 74, 76, 78, 80, 82, 85
Class B: 55, 56, 64, 78, 90, 98, 105
Find the mean and median of each class. Explain which measure better represents the typical score for each class and why.
Class A - Mean (more clustered data)
Class B - Median (Data more spread out)
Class A has test scores: 65, 70, 72, 75, 80, 85, 90.
Calculate the standard deviation.
Explain what the standard deviation tells you about the class scores.
8.15, the scores typically vary about 8 points from the mean
The following data represents the number of minutes 15 students spent on homework last week:
12, 15, 17, 20, 22, 25, 27, 30, 35, 40, 45, 50, 55, 60, 120
Construct a box and whisker plot representing this data.
*Observe on board*