In: Statistics and Probability
36, 52, 60, 60, 62, 65, 65, 65, 70, 72, 74, 75, 75, 76, 76, 78, 79, 79, 80, 80, 82, 83, 84, 85, 88, 90, 90, 92, 95, 98, 99
Please find the upper bound of the above set:
sr.no. | x | x-x̅ | (x-x̅)2 |
1 | 36 | -40.29 | 1623.31 |
2 | 52 | -24.29 | 590.02 |
3 | 60 | -16.29 | 265.37 |
4 | 60 | -16.29 | 265.37 |
5 | 62 | -14.29 | 204.21 |
6 | 65 | -11.29 | 127.47 |
7 | 65 | -11.29 | 127.47 |
8 | 65 | -11.29 | 127.47 |
9 | 70 | -6.29 | 39.57 |
10 | 72 | -4.29 | 18.41 |
11 | 74 | -2.29 | 5.25 |
12 | 75 | -1.29 | 1.66 |
13 | 75 | -1.29 | 1.66 |
14 | 76 | -0.29 | 0.08 |
15 | 76 | -0.29 | 0.08 |
16 | 78 | 1.71 | 2.92 |
17 | 79 | 2.71 | 7.34 |
18 | 79 | 2.71 | 7.34 |
19 | 80 | 3.71 | 13.76 |
20 | 80 | 3.71 | 13.76 |
21 | 82 | 5.71 | 32.60 |
22 | 83 | 6.71 | 45.02 |
23 | 84 | 7.71 | 59.44 |
24 | 85 | 8.71 | 75.86 |
25 | 88 | 11.71 | 137.12 |
26 | 90 | 13.71 | 187.96 |
27 | 90 | 13.71 | 187.96 |
28 | 92 | 15.71 | 246.79 |
29 | 95 | 18.71 | 350.05 |
30 | 98 | 21.71 | 471.31 |
31 | 99 | 22.71 | 515.73 |
Total | 2365 | 5752.39 | |
mean=x̅ | Total/31 | ||
x̅= | 76.29 |