stats

Question 1

mean

Answer 1

the average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of numbers in the set

Question 2

weighted mean

Answer 2

when not all values are equally represented
1. Multiply each data point by its weight to calculate the weighted value of each data point
2. Add the weighted values together to get the sum
3. Divide the sum by the sum of the weights for each data point

Question 3

median

Answer 3

midpoint of an ordered list

Question 4

mode

Answer 4

data value that occurs the most

Question 5

midrange

Answer 5

the sum of the lowest and highest in the data set divided by two

Question 6

range

Answer 6

highest value-lowest value

Question 7

variance

Answer 7

the average of the squared deviations between each data value and the mean

Question 8

standard deviation

Answer 8

the square root of the variance

Question 9

range rule of thumb

Answer 9

s=range/4

Question 10

chebyshevs theorem

Answer 10

1. Calculate the mean and standard deviation of the data
2. Determine the number of standard deviations, k, from the mean
3. Use the formula (1 - 1/k^2) x 100 to calculate the minimum proportion of observations that fall within the range

Question 11

percentiles

Answer 11

divide data into 100 equal groups
p=(# of values below specific data value)+0.5/total # of values in data set,n

Question 12

quartiles

Answer 12

divide the distribution into four equal groups denoted by q1, q2, q3,

Question 13

outliers

Answer 13

an extremely high or low data value in a data set

Question 14

interquartile range

Answer 14

the difference between the third and the first quartiles
IQR=q3-q1

Question 15

5 number summary

Answer 15

consist of the minimum q1, medianq2, and the maximum q3

Question 16

boxplots

Answer 16

uses the 5 number summary to graph the data

Question 17

sample space

Answer 17

the set of all possible outcomes

Question 18

tree diagram

Answer 18

a device using line segments to determine all possible outcomes

Question 19

types of probabilities

Answer 19

classical, empirical, and subjective

Question 20

probability

Answer 20

the extent to which an event is likely to occur

Question 21

combinations

Answer 21

is a selection of distinct objects without regard to order

Question 22

permutations

Answer 22

an arrangement of n objects in a specific order. ORDER MATTERS

Question 23

probability experiment

Answer 23

chance process that leads to well defined resultso

Question 24

outcome

Answer 24

the result of a single trial

Question 25

event

Answer 25

set of outcomes for a probability experiment

Question 26

simple event

Answer 26

an event that has only 1 outcome

Question 27

compound event

Answer 27

an event that has more than one outcome

Question 28

classical probability

Answer 28

uses sample spaces to determine probability
number of outcomes/number of outcomes in the sample space

Question 29

compliment of an event

Answer 29

chance of something not happening

Question 30

subjective probability

Answer 30

probability value based on an educated guess.

Question 31

empirical probability

Answer 31

uses experience or observation to determine probability
frequency for the class of interest/number of outcomes in the sample space

Question 32

mutually exclusive events

Answer 32

cannot occur at the same time

if they are mutually exclusive. The probability that A or B will occur isP(A or B)=P(A)+P(B)

Question 33

If they are not mutually exclusive (can occur at t

Answer 33

P(A or B)=P(A)+P(B)-P(A and B)

Question 34

multiplication rules

Answer 34

used to find the probability of two or more events that occur in a sequence. they are INDEPENDANT it the prob. of the second is not changed by the occurrence of the first event.

P(A and B)=P(A)XP(B)

Question 35

dependent

Answer 35

when the outcome or occurrence of the first even affects the outcome or occurrence of the second event in a way that the probability is changed.

Question 36

fundamental counting rule

Answer 36

in a sequence of N events in which there are a number of possibilities .

Question 37

factorial formulas

Answer 37

n!=n(n-1)(n-2)….1
0!=1