STA013 Fall 24 Quiz 3

z-score measures the distance between a particular observation and the mean _______ in units of ___________

measured, standard deviation

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

large

A set of n measurements on variable x has been arranged from smallest to largest. The pth percentile is the value of x that is greater than _______ of the measurements and is less than the remaining _________

p% , 100-p%

Lower quartile (first quartile) Q1 is the value of x that is _________ of measurements and __________

greater than 25%, less than 75%

2nd quartile Q2 is the ____________

median

Upper quartile (upper quartile) (Q3) is the value of x that is ______ of measurements and _____________

greater than 75%, less than 25%

Interquartile range (IQR) for a set of measurements is the difference between the ______ and ______ quartiles (IQR= Q3-Q1)

third and first

quartiles tell you ______________

distribution of data

Use five numbers to summarize data

Minimum, Q1, Median, Q3, Maximum

Box plots can be used to detect ___________

Outliers

An _______ is the process by which an observation (or measurement) is obtained

Experiment

A ______ is the outcome observed on a single repetition

simple event

an ______ is the collection of simple events

event

two events are __________ if when one event occurs the others can't and vice versa

mutually exclusive

simple events are _____ mutually exclusive

all

The set of all simple events is called the __________, S

sample space

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

tree diagram

In this population, the ______________________ of the event A is defined as the probability of event A

relative frequency

One requirement for simple events probabilities if that each probability must lie between _____ and _____

0, 1

One requirement for simple events probabilities is that the sum of probabilities for all __________ in S equals 1

simple events

the probability of an event A is equal to the sum of the probabilities of the __________ contained in A

simple events

Simple events have __________ probabilities

equal

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

mutually exclusive

The first step in calculating the probability of an event is to list all ___________ in the sample space

simple events

The second step in calculating the probability of an event is to assign an appropriate ___________ to each simple event

probability

The third step in calculating the probability of an event is to determine which simple events result in the _________ of interest

event

The fourth step in calculating the probability of an event is to _________ the probability of the simple events that result in the event of interest

sum

Each sample event has probability ________

1/N

In the P(A) equation P(A)=nₐ/N, nₐ is the number of ___________ that result in event A

simple events

The first rule for counting the number of simple events is the ________ rule

mn

The second rule for counting the number of simple events is the counting rule for ___________

permutations

The third rule for counting the number of simple events

counting rule for combinations

If there are m possible outcomes and, for each of these outcomes, there are n possible outcomes for the second stage, then there are mn possible outcomes for the experiment

mn rule

P(A)= nₐ/N where nₐ is the number of simple events that result in event A

Probability of event A equation

Probability of event A equation using relative frequency

P(A)= lim n->∞ frequency/n