intro to numerical measures

Question 1

3 numerical measures

Answer 1

-measure of location
-measure of variability
-measure of dist shape

Question 2

measures of location

Answer 2

-mean media mode
-percentiles (quartiles, quantiles, tertiles, median

Question 3

measure of variability

Answer 3

-range
-IQR
-variance
-standard deviation

Question 4

measure of dust shape

Answer 4

skewness

Question 5

do sample mean and population mean have same formulas

Answer 5

yes

Question 6

n is

Answer 6

size of sample

Question 7

N is the size of

Answer 7

population

Question 8

problem with only using mean

Answer 8

influenced by extreme values

Question 9

problems of mode

Answer 9

-poor measure if dist is flat (all have same frequency)
-not a great measure if data is continuous

Question 10

when is mode helpful

Answer 10

if not discretet and few alternatives

Question 11

percentile tells us

Answer 11

about how the data is spread over the interval from smallets to largest value

Question 12

review of percentile

Answer 12

ook

Question 13

quantiles

Answer 13

cut points that divide set of data into equal intervals

Question 14

purpose of quantiles

Answer 14

summarize distribution and help understand the spread

Question 15

quantiles is useful for

Answer 15

descending dist and comparing dist

Question 16

descending distribution

Answer 16

allow you to see how data is spread and identify outliers + trends

Question 17

comparing distribution

Answer 17

used to compare diff dataset dist

Question 18

common types of quantiles

Answer 18

percentiles, quartiles, deciles, and tertiles

Question 19

percentiles divide date into

Answer 19

100 equal parts

Question 20

quartiles divide date into

Answer 20

4 equal parts (each is 25%)

Question 21

deciles divide data into

Answer 21

10 equal parts (each 10%)

Question 22

tertiles divide data into

Answer 22

Three equal parts (cut points are 33rd and 67th percentile)

Question 23

IQR

Answer 23

diff between 3rd and 1st quartile (Q3-Q1)

Question 24

IQR overcomes

Answer 24

dependency on ectreme values

Question 25

IQR is the range

Answer 25

for the middle 50% of the data

Question 26

problem with IQR

Answer 26

problem is it only takes 50% of voices where the other half may have important data

Question 27

variance utilizes all

Answer 27

data

Question 28

variance is based on

Answer 28

diff between value of each obersvation and mean

Question 29

diff between each Xi and the mean is called

Answer 29

deivaiton about the mean

Question 30

standard deviation

Answer 30

positive square root of variance

Question 31

S denotes what for standard deviation

Answer 31

sample

Question 32

omega denotes what for standard deviation

Answer 32

population