Measures of Center
Normal Distribution
Z-Scores
Permutations and Combinations
Compound Probability
100
Find the median: {1,2,3,4,5}
3
100
What is the mean in this data set?
33 m
100
What is the name of this symbol and what does it represent?
mu
"mu," the mean
100
What is
5!
120
100
What is the probability of rolling doubles with two 6-sided dice?
6/36 = 1/6
200
Find the mode: {86, 42, 39, 47, 42, 53}
42
200
What is the standard distribution in this data set?
3 m
200
What is the name of this symbol, and what does it represent?
sigma
"sigma," the standard deviation
200
Permutation or combination:
How many ways can 12 runners finish first, second and third place?
Permutation
200
P(E) = 1/8.
What is the complement of P(E)? Or P(~E)?
7/8
300
Find the mean: {10, 20, 30, 40}
25
300
What percent of the data is between 30 and 36 meters?
68%
300
What number is "x" in this word problem?
Jo got a score of 92 on the semester exam. Find the z-score if the class average was 78 with a standard deviation of 4.5 points.
92
300
Permutation or combination:
How many ways can you make 4-letter arrangements from the word "Constitutional"?
Permutation
300
P(A) = 1/6, P(B) = 2/3.
What is P(A and B)?
2/18 = 1/9
400
What does standard deviation measure?
Whether data is spread out versus clustered together
400
What percent of the data is greater than 42 meters?
0.15%
400
A farmer's chickens lay an average of 14 eggs per day with a standard deviation of 3 eggs. Find the z-score of Henny Hen, who laid 13 eggs today.
-1/3 or -0.333..
400
Calculate a combination where n=10 and r = 2.
10!/(2!8!) = 45
400
P(A) = 1/6 and P(B) = 2/3.
What is P(A or B)?
1/6 + 2/3 = 5/6
500
If the standard deviation is 1.5, what is the variance? (Remember that standard deviation is the square root of the variance)
2.25
500
If 2,000 trees were measured here, how many are shorter than 24 m?
3 trees
500
Find the mean if z=2.5, x=20 and the standard deviation is 4.
mu = 10
500
Calculate a permutation where n=10 and r=2
10!/8! = 90
500
A card is drawn from a standard deck and NOT replaced. Then another card is drawn.
What is the probability of drawing two hearts?
13/52 x 12/51 = 156/2652 = 1/17