Quiz 3- Lecture 3 and Lecture 4

Question 1

the mean and standard deviation of a data set can be used to calculate a z-score, which measures the distance between a particular observation x and the…

Answer 1

mean, measured in units of standard deviation

Question 2

a percentile is another measure of relative standing, most often used for…

Answer 2

large data sets

Question 3

a set of n measurements on the variable x has been arranged from smalles to largest. The pth percentile is the value of x that is…

Answer 3

P% greater than the other measurements and is less than the remaining (100-P)%

Question 4

the lower quartile,Q1, is the value of x that is greater than ___ of measurements and is less than the remaining___.

Answer 4

25%, 75%

Question 5

The second quartile is the…

Answer 5

median

Question 6

the upper quartile, Q3, is the value of x that is ___ greater than rest of measurements and is less than the remaining ____

Answer 6

75%, 25%

Question 7

the interquartile range(IQR) for a set of measurements is the difference between the

Answer 7

3rd and 1st quartile

Question 8

box plot can be used to find

Answer 8

outliers

Question 9

z-scores, percentiles and quartiles, and the The Five-Number Summary and the Box Plot are called

Answer 9

measures of POSITION

Question 10

lower quartile is

Answer 10

the value of x in position 0.25(n+1)

Question 11

the upper quartiles is…

Answer 11

the value of x in position 0.75(n+1)

Question 12

We can use 5 numbers to summarize date…

Answer 12

min, Q1, median, Q3, max

Question 13

the process by which an observation (measurement) is obtained

Answer 13

experiment

Question 14

the outcome observed on a single repetition of an experiment

Answer 14

simple event

Question 15

a collection of simple events

Answer 15

event

Question 16

two events are _______, if when 1 occurs the other can not, vice versa

Answer 16

mutually exclusive

Question 17

simple events are ____mutually exclusive

Answer 17

ALL

Question 18

the set of all simple events is called…

Answer 18

sample space, S

Question 19

some experiments can be generated in stages and the sample space can be displayed in a…

Answer 19

tree diagram

Question 20

another way to display simple events (besides tree diagram) is to use…

Answer 20

table of outcomes

Question 21

probability of event A is…( in words)

Answer 21

a measure of our belief that event A will occur

Question 22

if you repeat an experiment until you eventually generate entire population , the_____ of event A is defined as the probability of Event A

Answer 22

RELATIVE FREQUENCY

Question 23

P(A)= ___( when n is the number of times that the experiment was performed but n becomes larger and you’ve generated entire population)

Answer 23

lim as n -> infinity of (frequency/n)

Question 24

each simple event probability must lie between…

Answer 24

0 and 1

Question 25

the sum of probabilities for all _____ in S(sample space) equals 1

Answer 25

simple events

Question 26

The probability of event A is equal to the sum of probabilities of the ______ contained in event A

Answer 26

simple events

Question 27

note that simple events have ____ probabilities

Answer 27

equal

Question 28

the probability of an event is the sum of the probabilities of the simple events it contains because simple events are...

Answer 28

mutually exclusive

Question 29

How to calculate the probability of an event: 1. list all the ________ in the sample space

Answer 29

SIMPLE EVENTS

Question 30

How to calculate the probability of an event: 2. assign an appropriate____ to each simple event

Answer 30

probability

Question 31

How to calculate the probability of an event: 3. determine which simple events result in the ____ of interest

Answer 31

event

Question 32

How to calculate the probability of an event: 4. ____ the probabilities of the simple events that result in the event of interest

Answer 32

SUM

Question 33

(N= large # of simple events) Each simple event has a probability of..

Answer 33

1/N

Question 34

n subscript a is the number of _____ that result in event A

Answer 34

simple events

Question 35

rule for counting # of simple events

Answer 35

mn rule

Question 36

when 0.25(n+1) and 0.75(n+1) aren't integers, the quartiles are found by...

Answer 36

interpolation, using the measurements above and below the calculated position

Question 37

since not integers, we take the lower quartile to be the value of ____ of the distance between the 2 other measurements

Answer 37

3/4

Question 38

since not integers, we take upper quartile to be the value of ____ of the distance between the 2 other measurements

Answer 38

1/4

Question 39

if the Q1 is 2.75 then look at the 2nd ordered measurement and the 3rd

Answer 39

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