True and False

Question 1

The median is a measure of spread

Answer 1

False

Question 2

The median is a measure of center

Answer 2

True

Question 3

The mean is a measure of spread

Answer 3

False

Question 4

The mean is a measure of center

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 center

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 than the mean to measure the center of a data set when the data has 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 1.5 IQR away from Q1 is an outlier

Answer 21

False

Question 22

Any data value that is more than 1.5 IQR away from the median is an outlier

Answer 22

False

Question 23

Any data value that is within two standard deviations from the mean is an outlier

Answer 23

False

Question 24

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

Answer 24

True

Question 25

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

Answer 25

True

Question 26

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

Answer 26

True

Question 27

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

Answer 27

False (it does transform bur it’s y=a^2x+b instead of y=ax+b)

Question 28

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

Answer 28

True

Question 29

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

Answer 29

True

Question 30

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

Answer 30

True

Question 31

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

Answer 31

False

Question 32

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

Answer 32

False

Question 33

If you rescale a date set (multiplying every data value by a positive constant): the standard deviation of the rescaled data is the rescaled standard deviation
of the original data

Answer 33

True

Question 34

If you rescale a date set (multiplying every data value by a positive constant): The IQR of the rescaled data is the rescaled IQR of the original data

Answer 34

True

Question 35

If you rescale a date set (multiplying every data value by a positive constant): The mean of the rescaled data is the rescaled mean of the original data

Answer 35

True

Question 36

If you rescale a date set (multiplying every data value by a positive constant): The median of the rescaled data is the rescaled median of the original data

Answer 36

True

Question 37

f you rescale a date set (multiplying every data value by a positive constant): The range of the rescaled data is the rescaled range of the original data

Answer 37

True

Question 38

If you rescale a date set (multiplying every data value by a positive constant): The variance of the rescaled data is the rescaled variance of the original data

Answer 38

False

Question 39

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

Answer 39

True

Question 40

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

Answer 40

True

Question 41

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

Answer 41

True

Question 42

In a bell-shaped data set, approximately 32% of the data values lies more than one
standard deviation away from the mean

Answer 42

True

Question 43

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

Answer 43

True

Question 44

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

Answer 44

True

Question 45

Independent events cannot occur together

Answer 45

False

Question 46

Disjoint events cannot occur together

Answer 46

True

Question 47

Any two disjoint events cannot be independent

Answer 47

True

Question 48

Any two independent events cannot be disjoint

Answer 48

True

Question 49

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

Answer 49

False

Question 50

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

Answer 50

True

Question 51

For the right-skewed data, the mean should be greater than the median

Answer 51

True

Question 52

For the left-skewed data, the mean should be greater than the median

Answer 52

False

Question 53

For the symmetric data, the mean and median should be approximately equal

Answer 53

True

Question 54

z-scores do not have unit

Answer 54

True

Question 55

z-scores can be used to compare values from different populations

Answer 55

True

Question 56

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

Answer 56

True

Question 56

z-score of a value gives how many standard deviations that value is a way from the
mean

Answer 56

True

Question 57

The variance of z-scores for all values in a data set is always 1

Answer 57

True