An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance x x 1 5 4 6 3 5 Days y y 6 23 30 41 45 49 Use a calculator or software to find the following values. (a) Find the mean and standard deviation of x x . MEAN: equation editor Equation Editor STANDARD DEVIATION: equation editor Equation Editor (b) Find the mean and standard deviation of y y . MEAN: equation editor Equation Editor STANDARD DEVIATION: equation editor Equation Editor
a. Mean for x is
For standard deviation
Create the following table.
data | data-mean | (data - mean)2 |
---|---|---|
1 | -3 | 9 |
5 | 1 | 1 |
4 | 0 | 0 |
6 | 2 | 4 |
3 | -1 | 1 |
5 | 1 | 1 |
Find the sum of numbers in the last column to get.
So
b. Similarly for y
Create the following table.
data | data-mean | (data - mean)2 |
---|---|---|
6 | -26.3333 | 693.44268889 |
23 | -9.3333 | 87.11048889 |
30 | -2.3333 | 5.44428889 |
41 | 8.6667 | 75.11168889 |
45 | 12.6667 | 160.44528889 |
49 | 16.6667 | 277.77888889 |
Find the sum of numbers in the last column to get.
Sample mean=
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