Probability
5 Number Summary
Mean, Median, Mode, Range, Standard Deviation
Fundamental Counting Principal
Does Order Matter?
100
Kaitlyn is flipping a coin two times. Write the lists of the entire sample space?
(Hint: Use a tree diagram)
Answer: HH, TT, HT, TH
100
Box Plot and 5 number summary
- Based on the box plot, identify the 5 number summary
Min: 5
Q_1: 7
Median: 10
Q_3: 12
Max: 13
100
Find the mean, median, mode, range and standard deviation for the following data set. 6,2,7,20,16,3,13,5
Mean: 9
Median: 6.5
Mode: No mode or none
Range: 18
Sx: 6.55
100
Evaluate the expression 
Answer 4080
100
8 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the gold, silver, and bronze medals be awarded?
Answer: 336- Order matters
200
A bag contains 3 gold marbles, 6 silver marbles, and 23 black marbles. You randomly select one marble from the bag. What is the probability that you select a gold marble?
P(gold marble) =
Answer: 1/12
200
The graph below shows the number of miles Rachel drove her car each day in the first ten days of September.
a) How many miles did Rachel drive on September 5th?
b) How many miles did Rachel drive on September 6th?
c) On which day of September did Rachel drive 2 miles?
a) 5 miles
b) 6 miles
c) 1
200
Find the mean, median, mode and range and standard deviation of the following data set.
1, 5, 2, 4, 8, 1, 3, 2, 2
Mean: 3.11
Median: 2
Mode: 2
Range: 8-1= 7
Sx=2.26
200
Evaluate the expression 
Answer: 120
200
A pizza parlor offers a choice of 16 different toppings. How many 2-topping pizzas are possible?
Your answer is : 120 order doesn’t matter
300
A bowl contains 8 snickers and 10 Twix. If you reach into the bowl and pull out two items is succession without replacement, what is the probability that you pulled out.
a) A Snicker on the first draw?
b) Two Snickers?
c) Snicker then a Twix?
d) Two Twix?
a) 8/18 b) 28/153
c) 40/153 d) 5/17
300
Find the 5 number summary for the data shown below.
62, 31, 87, 39, 28, 26, 94, 7, 69, 22
Minimum:
Q_1:
Median:
Q_3:
Maximum:
Minimum: 7
Q_1: 26
Median: 35
Q_3: 69
Maximum: 94
300
Find the mean, median, mode, range and standard deviation for the following data set. 12,9,9,5,12,9,20,16,18,10
Mean: 12
Median: 11
Mode: 9
Range: 15
Sx:4.67
300
A pizza parlor offers a choice of 12 different toppings. How many 6-topping pizzas are possible? (no double-orders of toppings are allowed)
In this situation, does the order of the toppings matter?
No, order doesn't matter
300
There are 41 runners in a race, and no ties. In how many ways can the first three finishers be chosen from the 41 runners, regardless of how they are arranged?
Answer: 10660 order doesn’t matter
400
6. If the probability of an event is
53/76
, what is the probability of the event not happening? Write your answer as a simplified fraction.
Answer: 23/76
400
Consider the following data set: What is the five-number summary?
10, 12, 12, 12, 12, 17, 20, 23, 23, 24
Minimum:
Q_1:
Median:
Q_3
Maximum:
Minimum: 10
Q_1: 12
Median:14.5
Q_3: 23
Maximum: 24
400
Find the mean, median, mode, range and standard deviation for the following data set.
74, 79, 84, 87, 88, 90, 93, 93, 97, 99
Mean: 88.4
Median: 89
Mode: 93
Range: 25
Sx: 7.81
400
The league championship 800 meter race has 7 runners.
In how many different ways can they place first, second, and third?
Answer: 210
400
At a charity benefit with 24 people in attendance, three $50 gift certificates are given away as door prizes. Assuming no person receives more than one prize, in how many different ways can the gift certificates be awarded?
Answer: 2024 Order doesn’t matter
500
If you select a card at random from a standard 52 deck of cards, what is the probability of getting
a) A 5 of spades
b) A club or spade
c) A number smaller than 3 (counting the ace as a 1)
a) 1/52
b) 1/2
c) 2/13
500
Consider the following data set: What is the five-number summary?
23, 29, 31, 31, 32, 32, 36, 36, 37, 38
Minimum:
Q_1:
Median:
Q_3:
Maximum:
Minimum:23
Q_1: 31
Median: 32
Q_3: 36
Maximum: 38
500
Find the mean, median, mode and range and standard deviation of the following data set.
57.9, 63.3, 85.8, 85.8, 66.6, 85.8, 55.9, 78, 47, 69.4
Mean = 69.55
Median = 68
Mode = 85.8
Sx= 13.91
500
A gate has a standard key pad with the digits 0 through 9. How many possible code combinations are there if the code is 7 digits long.
10000000
500
How many ways can you select 15 out of 22 people to form a committee?
Answer: 170544 order doesn’t matter