Mad and Standard Deviation

Data points ​ (a)   the mean has a ​ (b)  

• clustered close to

• low standard deviation

• spread out far away from

• skewed distribution

• large interquartile range

What is the symbol used to represent the standard deviation in statistics?

• μ

• x

• σ

• n

If the standard deviation of a dataset is 6, what does this value indicate about the spread of the data?

• The data has a spread of exactly 6 units around the mean.

• The data has a spread of 12 units around the mean.

• The data has a spread of 3 units around the mean.

• The data has a spread of approximately 6 units around the mean.

The concept of mean absolute deviation is...

• Mean absolute deviation is the same as standard deviation

• Mean absolute deviation is only applicable to categorical data

• Mean absolute deviation is calculated by multiplying each data point by the mean of the data set

• Mean absolute deviation is calculated by taking the absolute difference between each data point and the mean of the data set, then finding the average of these absolute differences.

Calculate the mean absolute deviation for the set of numbers: 8, 12, 16, 20, 24

• 4.8

• 3.6

• 5.2

• 6.4

Which set has a standard deviation that is closest to the mean?
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2

• 1

• 2

• 3

• 4

What is the second step when calculating the Mean Absolute Deviation?

• Find the distance each value is from the mean

• Find the mean of the distances

• Find the mean of the data

What does a standard deviation of 0 mean?

• There is no spread of data

• The spread of data is close to the mean

• The data is more spread out from the mean

• There is no mean

Which M.A.D. would show the most variability?

• .5

• 2

• 1.5

• 1

True or false? If you have a large Mean Absolute Deviation that means there is more variability in the data set.

• True

• False