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