SAP Review -MAD, Mean, Median, Mode & Range
No Mode
What is the mode of the data set? 4, 8, 5, 3, 2, 11, 10
27
What is the range of the data set? 29, 12, 33, 39, 26
4
What is the mean absolute deviation of the numbers $63, $59, $72, $68, $61, $67
2.5
What is the mean absolute deviation of these numbers 22, 20, 28, 24
1.25
What is the mean absolute deviation of these numbers 5, 7, 4, 6, 3, 5, 3, 7
Steps to find the MAD
1) find the mean of the data set; 2) subtract to find the distance each value is from the mean; 3) find the mean of the distances (divide the sum of the distances by the number of values)
33
What is the median of the data set? 45, 23, 36, 42, 29, 30,
13
What is the mode of the data set? 12, 13, 12, 13, 13, 14
Median
The exact middle of a group of numbers
Mode
The number(s) in a data set that appear the most often
mean
a measure of center to describe a data set; same as average; add up the numbers and divide by how many number there are
measure of variability
a single number used to describe how much the data are spread out from the center of the data
absolute value
distance a number is from zero on the number line - value of the number without the sign ( will always be a positive number)
data
group of facts; collection of information
mean absolute deviation
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
deviation
the DIFFERENCE between one set of values and some fixed value, usually the mean of the set.
Range
the difference between the highest and lowest scores in a data set