Simple and Compound Probability
There are 4 striped shirts, 3 polka dot shirts, and 5 solid shirts in a closet.
What is the probability of picking a striped shirt?
4/12 = 1/3
The days of the week are written on pieces of paper and put into a hat. What is the theoretical probability of choosing a weekend?
2/7
Saturday and Sunday
60
Find the difference between the mean and median.
Mean - 19.5
Median - 20.5
Difference is 1
Find the Mean, Median, Mode, and Range of the following data set:
55, 75, 75, 80, 85, 85, 85, 90, 90, 90, 95, 95, 100, 100, 100, 100
Mean - 87.5
Median - 90
Mode - 100
Range - 45
The numbers 1-12 are written on pieces of paper and put into a hat.
What is the probability of choosing a number less than 9?
8/12 = 2/3
The numbers 1-10 are put into a hat. What is the theoretical probability of choosing an odd number?
1/2
The school cafeteria has 7 entree options, four side options, and 3 drink options. How many lunch combinations of one entree, one side, and one drink are possible?
84
7x4x3
What is the interquartile range for each class?
Class A - 9
Class B - 14
Find the Mean, Median, Mode, and Range of the following data set.
75, 80, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 95, 95, 100, 100
Mean - 88.75
Median - 87.5
Mode - 95
Range - 25
A box contains 8 apples, 10 oranges, 10 grapes, and 12 strawberries. A fruit is chosen at random, replaced, then another fruit is chosen at random. Find the probability of choosing a strawberry, then not an orange in simplest form.
12/40 x 30/40
3/10 x 3/4
9/40
A letter from the word CALENDAR is selected at random 75 times. The results from the experiment are below.
C-8, A-15, L-7, E-5, N-11, D-9, A-8, R-12
What is the theoretical probability of choosing a vowel?
3/8
A date in the month of March and a letter from the alphabet is chosen at random. How many outcomes are possible?
806
What percentage of students in Class B scored an 87 or below?
75%
If the mean absolute deviation of Data Set A is 4 and the mean absolute deviation of Data Set B is 30, what does this mean in comparing the values in each set?
The MAD of Set A is closer to 0 so there is less variation in the data. (the numbers are closer together)
A box contains 8 apples, 10 oranges, 10 grapes, and 12 strawberries. A fruit is chosen at random, replaced, then another fruit is chosen at random. Find the probability of choosing an apple both times in simplest form.
8/40 x 8/40
1/5 x 1/5
1/25
A letter from the word CALENDAR is selected at random 75 times. The results from the experiment are below.
C-8, A-15, L-7, E-5, N-11, D-9, A-8, R-12
Based on the experiment, what is the probability of choosing a vowel?
28/75
A day of the week is chosen and then a coin is tossed.
Draw a tree diagram to show all of the possible outcomes. What is the total number of outcomes?
14 outcomes
What percentage of students are at most 12 years old?
72/120
60%
Find the Mean Absolute Deviation of the following data set.
28, 16, 26, 22, 18
Mean - 22
MAD - 4
The numbers of pies made by a bakery in October is shown below.
Apple - 15, Pumpkin - 24, Key Lime - 18, Cherry - 10, and Pecan - 13
If the bakery is making 400 pies for Thanksgiving, how many Pumpkin Pies do you suggest they make?
24/80 = 0.3
0.3 x 400 = 120
120 pies
A letter from the word CALENDAR is selected at random 75 times. The results from the experiment are below.
C-8, A-15, L-7, E-5, N-11, D-9, A-8, R-12
Based on the experiment, what is the probability of choosing an R? Is that higher or lower than expected?
Theoretical - 1/8 (25/200)
Experimental - 4/25 (32/200)
Higher than expected
A bag contains one penny, one nickel, one dime, and one quarter. A standard die is rolled, then one coin is picked at random.
Draw a tree diagram to show all of the possible outcomes. What is the total number?
24 outcomes
Find the 5 number summary for the following data set.
8, 20, 3, 15, 12, 10, 4, 26, 13, 6, 2, 18, 35, 16, 12
Min - 2
LQ - 6
Med - 12
UQ - 18
Max - 35
Find the Mean Absolute Deviation of the following data set.
95, 126, 68, 111, 102, 86
Mean - 98
MAD - 15