You will be able to:

• Describe the significance of calculating measures of dispersion for continuous data
• Understand the formula and intuition behind mean absolute deviation, standard deviation and variance
• Understand the formula and intuition behind quantiles/quartiles and percentiles
• Understand and interpret Interquartile distances with box plots

Summary statistics for two samples of data are

Sample 1:	
mean = 19 
variance = 10

Sample 2:	
mean = 10
variance = 19

Which sample has the larger spread of observations?

# Your answer here 

Consider the following ordered set of data

4 4 4 9 5 0 5 1 5 3 5 7 5 8 6 2

6 6 6 6 6 8 7 1 7 5 7 7 8 0 8 5

• What is the IQR?
• Optional extension: Verify your answer in Python

# Your answer here 

Create a box-and-whisker plot for the judges' scores for an artist's performances in a talent competition.

Evan L	52
Nicole S  50
Pamela A  47
Chad O	44
Erin A	39
Jake P	38
Niecy N   36
Kate G	32

Create a box plot in matplotlib to identify the median for giving a final score to the artist. Are there any outliers ?

# Your answer here 

# # Your answer here 

Imagine that the number of marriages registered over a 10 year period were as follows:

Table 1. Number of registered marriages

Year  Number of marriages

1	40,650
2	40,812
3	41,300
4	41,450
5	39,594
6	40,734
7	39,993
8	38,814
9	37,828
10   35,716

Using the data above:

# Your answer here 

#### Find the upper and lower quartiles

# Q1 = 38.814 Q3 = 40.812 # Your answer here 

# Your answer here 

# Your answer here