Measures of ...
Normal Distribution
Z-Scores
Permutations and Combinations
Probability
100
Find the standard deviation: {1,2,3,4,5}
s=1.58 or 1.6
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
A bowl contains four apples, three bananas, three oranges, and two pears. If one piece of fruit is selected at random, what is the odds against selecting an orange?
9/3 or 3/1
200
Find the range: {24, 73, 30, 56, 22, 81}
59
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
Given the data: {10, 20, 30, 40}
find Q1, Q2, and Q3
Q1 = 15
Q2 = 25
Q3 = 35
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
A) Are the following events independent or dependent?
You pick a card out from a standard deck and then flip a coin.
B) What is the probability of picking a red card and getting a heads?
A) Independent
B) 1/4
P(AandB)= P(A) * P(B)= 26/52 * 1/2=26/104=1/4
400
If the standard deviation is 1.5, what is the variance? (Remember that standard deviation is the square root of the variance)
2.25
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
Eight children are riding on a merry-go-round. How many ways can they be seated?
5040
400
On a school board, 2 of the 4 female members are over 40 years of age, and 5 of the 6 male members are over 40. If one person did not attend the meeting, what is the probability that the person was a male or a member over 40?
4/5
P(male or over 40)= P(male) + P(over 40) - P(male and over 40) = 6/10+ 7/10 - 5/10= 8/10= 4/5
500
Given the data: {86, 42, 39, 47, 42, 53}
find a) mean, b) median, c) mode, d) midrange
a) mean = 51.5
b) median = 44.5
c) mode = 42
d) midrange = 62.5
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
CA company needs to choose an 8 person board of directors. If 24 different people applied, how many possible groups can there be?
Because order is not important (no specific roles)
C(24, 8)= 735,471
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