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Mean
Median
Range and IQR
Vocabulary
Measure of Center/Measure of variability
100

The mean of the data set: 10, 30, 50, 70, 80, 90

What is 55?

100

The median of the data set: 10, 20, 30, 40, 50, 60, 70, 80, 90

What is 50?

100

The range of the data set: 1, 3, 8, 14, 22, 35

What is 34?

100

The average of set of data.

What is mean?
100

Data is skewed left, what is the appropriate measure of center?

Median

200

The mean of the data set: 2, 3, 8, 14, 20, 31

What is 13?

200
The median of the data set: 1, 3, 8, 14, 22, 35
What is 11?
200

The range of the data set: 11, 27, 18, -4, 12, -6, -5, 9

What is 33?

200

The difference between the greatest and least values of a data set.

What is the range?
200

Data is skewed right, what is appropriate measure of variability?

IQR

300
The mean of the data set: 12, 32, 23, 61, 52
What is 36?
300
The median of the data set: 32, 8, 18, 42, 25, 28, 36, 15
What is 26.5?
300

The interquartile range of the data set: 1, 3, 8, 14, 22, 35

What is 19?

300
The middle value or the average of two middle items when the data values are arranged in numerical order.
What is the median?
300

Data is uniformed/symmetric, what is the appropriate measure of center?

mean

400
The mean of the data set: 32, 8, 18, 42, 25, 29, 39, 15
What is 26?
400
The median of the data set: 11, 27, 18, 34, 12, 46, 45, 9
What is 22.5?
400
The interquartile range of the data set: 10, 20, 30, 40, 50, 60, 70, 80, 90
What is 50?
400

The difference between the first and third quartiles of a data set. It represents the spread of the middle 50% of the data.

What is the interquartile range (IQR)?

400

Data is uniformed, what is appropriate measure of variability?

Range

500
The mean of the data set: 11, 26, 16, -4, 13, -6, -5, 9
What is 7.5?
500

The median of the data set: 3.6, 10, 7.4, 5.3, 8.8, 6.1

What is 6.75?

500

The interquartile range of the data set: 32, 8, 18, 42, 25, 28, 36, 15

What is 17.5?

500

a grouping or set of data points that are closely packed together, forming a distinct group on a graph or table

Cluster

500

How does outliers affect mean, median, mode, range, and IQR of your data set?

 Outliers especially extreme values, can dramatically pull the mean towards them, skewing the average 

The median is generally less affected by outliers than the mean because it only considers the middle value(s);

The mode, being the most frequent value, is also typically not as affected by outliers. 

The range, being the difference between the maximum and minimum values, is highly sensitive to outliers.