The following are data on final score in a class and a rating of the student’s enjoyment of the class on a scale from (1 = hated it to 10 = best class ever).
Final Score |
Rating |
68 |
2 |
79 |
4 |
80 |
3 |
82 |
5 |
82 |
6 |
85 |
4 |
87 |
7 |
87 |
7 |
87 |
8 |
90 |
6 |
95 |
9 |
97 |
7 |
Calculate the standard deviation of the final score.
8.60 |
||
5.47 |
||
7.68 |
||
9.12 |
Calculate the standard deviation of rating.
2.10 |
||
3.14 |
||
2.68 |
||
1.45 |
Observation Table:
Final Score (X) | (X-Xbar)2 | Rating (Y) | (Y-Ybar)2 |
68 | 286.2864 | 2 | 13.4689 |
79 | 35.0464 | 4 | 2.7889 |
80 | 24.2064 | 3 | 7.1289 |
82 | 8.5264 | 5 | 0.4489 |
82 | 8.5264 | 6 | 0.1089 |
85 | 0.0064 | 4 | 2.7889 |
87 | 4.3264 | 7 | 1.7689 |
87 | 4.3264 | 7 | 1.7689 |
87 | 4.3264 | 8 | 5.4289 |
90 | 25.8064 | 6 | 0.1089 |
95 | 101.6064 | 9 | 11.0889 |
97 | 145.9264 | 7 | 1.7689 |
1019 | 648.9168 | 68 | 48.6668 |
Standard deviation for final score:
Standard deviation for rating:
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