Measures of Variablity

Question 1

What are measures of variablity

Answer 1

Measures of variability describe how spread out or dispersed a set of data points is

It can also be describe as how much data DEVIATES from each other

Question 2

What is MAD

Answer 2

MAD stands for Mean Absolute Deviation, which is a measure of variability that indicates how much individual data points deviate from the mean of a dataset

Question 3

What is IQR

IQR is known as Interquartile Range

Answer 3

IQR is a measure of variability that splits data into four equal quartiles. It represents the middl eof the data

Question 4

What is range?

Answer 4

Describes the spread of the data

More specifically, it describes how far the spread of the data is. For example if the data was 10, 39, 25, then the range would be 10-39

Question 5

How do you find range

Answer 5

subtract the biggest number from the smallest number

Question 6

How do you find MAD

Answer 6

1. Find the mean of the data set
2. Find the distance from each data point and the mean
3. Find the average of those distances

For #2, just subtract the mean from each data point, then add the distances.
For #3, just divide the total number by the number of data points

Question 7

How do you find IQR

Answer 7

1. Ordering the data from least to greatest
2. Finding the median
3. Finding the meadian of the lower and upper quartiles
4. Subtracting the upper quartiles median (Q3) - the lower quartiles median (Q1)

Question 8

What is Mean?

(In MAD, mean absolute deviation)

Answer 8

Referring to mean in statistics, the average of all the numbers

in MAD, you have to find the mean

Question 9

What is Absolute?

(In MAD, mean absolute deviation)

Answer 9

Absolute is referring to Absolute zero, the distance between a number and zero

In this part of MAD, when you subtract the numbers, it must be positive, and include the brackets (|x|)

Question 10

What is deviation?

(In MAD, mean absolute deviation)

Answer 10

The spread of the data

In this part of mad, you subtract the mean from each number in the data set

Question 11

What is Q1

Answer 11

The median of the lower quartile (seperated by the median for the entire dataset)

Question 12

What is Q2

Answer 12

The median

Question 13

What is Q3

Answer 13

The median for the upper quartile (seperated by the median for the entire dataset)