true or false exam 1

Question 1

the mediaan is a measure of spread

Answer 1

false

Question 2

the median is a measure of centre

Answer 2

true

Question 3

the mean is a measure of spread

Answer 3

false

Question 4

the mean is a measure of centre

Answer 4

true

Question 5

the mean is resistant

Answer 5

false

Question 6

the median is not resistant

Answer 6

false

Question 7

the range is a measure of spread

Answer 7

true

Question 8

the range is resistant

Answer 8

false

Question 9

the IQR is a measure of spread

Answer 9

true

Question 10

the IQR is resistant

Answer 10

true

Question 11

the variance is a measure of spread

Answer 11

true

Question 12

the standard deviation is a measure of centre

Answer 12

false

Question 13

the variance is resistant

Answer 13

false

Question 14

the standard deviation is not resistant

Answer 14

true

Question 15

the median is better thsn the mean to measure the centre of a data set when the data have outliers

Answer 15

true

Question 16

the range is the worst measure of spread

Answer 16

true

Question 17

the five number summary consists of minimum, q1, median, q3, maximum

Answer 17

true

Question 18

any data value that is more than 1.5 IQR above q3 is an outlier

Answer 18

true

Question 19

any data value that is more than 1.5 IQR below q1 is an outlier

Answer 19

true

Question 20

any data value that is more than 1.5 IQR away from q3 is an outlier

Answer 20

false

Question 21

any data value that is more than 1.5IQR from q1 is an outlier

Answer 21

false

Question 22

any data value fthat is more than 1.5 IQR away fro the median is an outlier

Answer 22

false

Question 23

any data value that is more than two standard deviations from the mean is an outlier

Answer 23

false

Question 24

the five number summary of the linear transformed data is the transformed five number summary of the original data

Answer 24

true

Question 25

the mean of the linear transformed data is the transformed mean of the original data

Answer 25

true

Question 26

the variance of the linear transformed data is the transformed variance of the original data

Answer 26

false

Question 27

the median of the linear transformed data. is the transformed median of the original data

Answer 27

true

Question 28

the IQR of the linear transformed data is the linear transformed IQR of the original data

Answer 28

false

Question 29

the mean of the rescaled data is the rescaled mean of the original data

Answer 29

true

Question 30

the variance of the linear transformed data is the transformed variancxe of the original data

Answer 30

false

Question 31

the standard deviation of the linear transformed data is the transformed standard deviation of the original data

Answer 31

fale

Question 32

if you rescale a data set (multiplyiing every data value by a positive constant) a) the standard deviation of the rescaled data is the rescaled standard deviation of the original data b) the IQR of the rescaled data is the rescaled IQRR of the original data c) the mean of the rescaled data is the rescaled mean of thee original data d) the median of the rescaled data is the rescaled median of the original data e) the range of the rescaled data is the rescaled range of the original data f) the variance of the rescaled data is the rescaled variance of the original data

Answer 32

all true

Question 33

approximately 68% of the values in a data set lies within one standard deviation of the mean

Answer 33

false

Question 34

approximately 95% of the values in a data set lies within two standard deviation of the mean

Answer 34

false

Question 35

in a bell-shaped data set, approximately 5% of the data values lie more than two standard deviations away from the mean

Answer 35

true

Question 36

in a bell-shaped data set, approximately 32% of the data values lies more than two standard deviations away from the mean

Answer 36

true

Question 37

in a symmetric data set, approximately 68% of the data values lies within one standard deviation of the mean

Answer 37

false

Question 38

approximately 95% of the values in a dta set lies within two standard deviations of the mean

Answer 38

false

Question 39

independent events cannot occur together

Answer 39

false

Question 40

disjoint events cannot occur together

Answer 40

true

Question 41

any two disjoint events cannot be independent

Answer 41

true

Question 42

an two independent events cannot be disjoint

Answer 42

true

Question 43

for any random variable X, P(X=3) is always 0

Answer 43

false

Question 44

for any continuous random variable X, P(X=3) is always 0

Answer 44

true

Question 45

for th right skewed data, the mean should be greater than the median

Answer 45

true

Question 46

for the left skewed data, the mean should be greater than the median

Answer 46

false

Question 47

for the symetric data, the mean and median should be approximately equal

Answer 47

true

Question 48

z scores do not have unit

Answer 48

true

Question 49

z scores can be used to compare values from different populations

Answer 49

true

Question 50

z scores of a value gives how many standard deviations that value is away from the mean

Answer 50

true

Question 51

the mean of z scores for all values in a data set is always 0

Answer 51

true

Question 52

the variance of z scores for all values in a data set is always 1 `

Answer 52

true