Quiz 3- Lecture 3 and Lecture 4 Flashcards

1
Q

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…

A

mean, measured in units of standard deviation

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2
Q

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

A

large data sets

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3
Q

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…

A

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

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4
Q

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

A

25%, 75%

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5
Q

The second quartile is the…

A

median

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6
Q

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

A

75%, 25%

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7
Q

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

A

3rd and 1st quartile

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8
Q

box plot can be used to find

A

outliers

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9
Q

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

A

measures of POSITION

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10
Q

lower quartile is

A

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

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11
Q

the upper quartiles is…

A

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

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12
Q

We can use 5 numbers to summarize date…

A

min, Q1, median, Q3, max

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13
Q

the process by which an observation (measurement) is obtained

A

experiment

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14
Q

the outcome observed on a single repetition of an experiment

A

simple event

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15
Q

a collection of simple events

A

event

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16
Q

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

A

mutually exclusive

17
Q

simple events are ____mutually exclusive

A

ALL

18
Q

the set of all simple events is called…

A

sample space, S

19
Q

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

A

tree diagram

20
Q

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

A

table of outcomes

21
Q

probability of event A is…( in words)

A

a measure of our belief that event A will occur

22
Q

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

A

RELATIVE FREQUENCY

23
Q

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

A

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

24
Q

each simple event probability must lie between…

A

0 and 1

25
Q

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

A

simple events

26
Q

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

A

simple events

27
Q

note that simple events have ____ probabilities

A

equal

28
Q

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

A

mutually exclusive

29
Q

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

A

SIMPLE EVENTS

30
Q

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

A

probability

31
Q

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

A

event

32
Q

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

A

SUM

33
Q

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

A

1/N

34
Q

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

A

simple events

35
Q

rule for counting # of simple events

A

mn rule

36
Q

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

A

interpolation, using the measurements above and below the calculated position

37
Q

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

A

3/4

38
Q

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

A

1/4

39
Q

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

A

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