Given the following data, find the following:
Round your answers to 2 decimal places as needed
97 | 89 |
19 | 77 |
50 | 81 |
53 | 62 |
80 | 70 |
52 | 55 |
3 | 85 |
Mean=
Median=
Range =
Sample Standard Deviation=
Ans:
Sorted data:
3 | 70 |
19 | 77 |
50 | 80 |
52 | 81 |
53 | 85 |
55 | 89 |
62 | 97 |
1)sum=873
n=14
mean=873/14=62.36
2)median=(62+70)/2=66
3)Range=maximum-minium=97-3=94
4)sample standard deviation
xi | (xi-62.357)^2 | ||
1 | 97 | 1200.137 | |
2 | 19 | 1879.829 | |
3 | 50 | 152.695 | |
4 | 53 | 87.553 | |
5 | 80 | 311.275 | |
6 | 52 | 107.267 | |
7 | 3 | 3523.253 | |
8 | 89 | 709.849 | |
9 | 77 | 214.417 | |
10 | 81 | 347.561 | |
11 | 62 | 0.127 | |
12 | 70 | 58.415 | |
13 | 55 | 54.125 | |
14 | 85 | 512.705 | |
Total= | 873 | 9159.214 | |
mean= | 62.357 | 26.543 | std. dev. |
sample standard deviation=sqrt(9159.214/13)=26.54
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