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?
?: Which sample has the larger spread of observations?
() Sample 1
(X) Sample 2
?: 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 InterQuartile Range (IQR) for this dataset?
() 2
(X) 3
() 3.5
() 4.25
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 |
?: What is the median number of marriages?
() 41,886
() 38,997
() 39,594
(X) 40,321
?: Select the upper and lower quartile values from the list below:
[X] 38.814
[] 36.227
[X] 40.812
[] 41.812