Permutations
What is the equation for a permutation?
nPr= n!/(n-r)!
What is the equation for combinations?
nCr = n!/ (n-r)! * r!
A box plot shows a minimum of 11, Q1 of 13, median of 15, Q3 of 17, and a maximum of 24.
Question: What is the Interquartile Range (IQR)?
4
Calculate the standard deviation for this data set: 1, 4, 7, 2, 6.
2.28
What is the 68-95-99.7% rule?
All of the data is within 3 standard deviations
What does the "n" stand for in the equation?
The total number of items
A teacher gives an exam with 10 problems but only requires students to complete 8. In how many ways can a student choose which problems to answer?
45 ways
What is the Mean?
The mathematical average of a set of numbers
What is the standard deviation for this set of numbers: 25, 36,14,25,14, 28,24,35?
7.69
What is a compound event?
A combination of two or more simple events happening at once
What does the "r" stand for in the equation?
The number of items being selected, arranged, or observed
You are at a store that sells 8 different types of candy bars. Your parents say you can choose any 3. How many different groups of candy bars could you pick?
56 different groups
What is the range?
The total distance between the lowest and highest values in a data set
What is the standard deviation of this set of numbers: 30,000, 56,000, 23,000, 34,000, 43,000, 78,000?
18,430.05
What is mutually exclusive?
An event cannot happen at the same time
A club has 28 members. In how many ways can the offices of chairman, vice-chairman, secretary, and treasurer be filled?
491,400 ways
There are 10 people at a party. Everyone shakes hands with everyone else exactly once. How many handshakes happen in total?
45 handshakes
A histogram of employee salaries is skewed to the right. What does this indicate about the relationship between the mean and median?
In a right-skewed distribution, the mean is typically greater than the median because high-value outliers pull the average up.
A set of test scores has a mean of 80 and a standard deviation of 5. What range of scores contains approximately 68% of the students?
75-85
What is a compliment?
Denoted A', consists of all outcomes other than A
How many distinct ways can the letters in the word "MISSISSIPPI" be rearranged?
34,650 distinct arrangements
A volleyball coach has 12 players on the roster but can only put 6 on the court at a time. How many different "starting lineups" can the coach make?
924 different starting lineups
What is mode?
The value that appears most frequently in a data set
What is the standard deviation of the following dataset: 7, 7, 7, 7?
0
What is the interquartile range?
The difference between the third and first quartile