Summary Statistics 1
Standard Deviation - correct answer-The average distance that each value in a data set is
away from the mean
Variance - correct answer-Average squared deviations from the mean
Range - correct answer-The difference between the maximum value and the minimum value
of a data set
What does a low standard deviation indicate about a data set as opposed to a high standard
deviation? - correct answer-A low standard deviation indicates the values in a data set tend
to be relatively close to the mean. A high standard deviation indicates the values in a data
set are spread out over a larger range.
What is the standard deviation of a data set in relation to its variance? - correct answer-The
square root of the variance
Quartile 1/Lower Quartile (Q1) - correct answer-The 25th percentile of a data set
Quartile 3/Upper Quartile (Q3) - correct answer-The 75th percentile of a data set
Interquartile Range (IQR) - correct answer-The middle 50% of a data set; calculated by
finding the difference between the first and third quartiles
Describe the "IQR method" for identifying outliers. - correct answer-• Low outlier < Q1 -
1.5(IQR)
• High outlier > Q3 + 1.5(IQR)
Describe the "standard deviation method" for identifying outliers. - correct answer-An outlier
is a value located 2 or more standard deviations above or below the mean
Measures of Center - correct answer-• Mean
• Median
• Mode
Measures of Spread - correct answer-• Range
• IQR
• Variance
• Standard deviation
What does it mean to shift a data set? - correct answer-Adding or subtracting a constant
from all values in the data set
What does it mean to scale a data set? - correct answer-Multiplying all values in the data set
by a constant
Standard Deviation - correct answer-The average distance that each value in a data set is
away from the mean
Variance - correct answer-Average squared deviations from the mean
Range - correct answer-The difference between the maximum value and the minimum value
of a data set
What does a low standard deviation indicate about a data set as opposed to a high standard
deviation? - correct answer-A low standard deviation indicates the values in a data set tend
to be relatively close to the mean. A high standard deviation indicates the values in a data
set are spread out over a larger range.
What is the standard deviation of a data set in relation to its variance? - correct answer-The
square root of the variance
Quartile 1/Lower Quartile (Q1) - correct answer-The 25th percentile of a data set
Quartile 3/Upper Quartile (Q3) - correct answer-The 75th percentile of a data set
Interquartile Range (IQR) - correct answer-The middle 50% of a data set; calculated by
finding the difference between the first and third quartiles
Describe the "IQR method" for identifying outliers. - correct answer-• Low outlier < Q1 -
1.5(IQR)
• High outlier > Q3 + 1.5(IQR)
Describe the "standard deviation method" for identifying outliers. - correct answer-An outlier
is a value located 2 or more standard deviations above or below the mean
Measures of Center - correct answer-• Mean
• Median
• Mode
Measures of Spread - correct answer-• Range
• IQR
• Variance
• Standard deviation
What does it mean to shift a data set? - correct answer-Adding or subtracting a constant
from all values in the data set
What does it mean to scale a data set? - correct answer-Multiplying all values in the data set
by a constant
