In: Math
Consider the following three data sets which shows the students’ results for test in the
new course launched in the undergraduate program across three sections.
Class A:{65;75;73;50;60;64;69;62;67;85}
Class B:{85;79;57;39;45;71;67;87;91;49}
Class C: {43;51;53;110;50;48;87;69;68;91}
Using appropriate statistical tools- numerical and graphical, describe the similarity and differences in the students’ performance among the three classes.
| CLASS A | CLASS B | CLASS C | |
| 1 | 65 | 85 | 43 |
| 2 | 75 | 79 | 51 |
| 3 | 73 | 57 | 53 |
| 4 | 50 | 39 | 110 |
| 5 | 60 | 45 | 50 |
| 6 | 64 | 71 | 48 |
| 7 | 69 | 67 | 87 |
| 8 | 62 | 87 | 69 |
| 9 | 67 | 91 | 68 |
| 10 | 85 | 49 | 91 |
| TOTAL | 670 | 670 | 670 |

SUMMARY STAISTICS FOR CLASS A
| Column1 | |
| Mean | 67 |
| Standard Error | 2.988868 |
| Median | 66 |
| Mode | #N/A |
| Standard Deviation | 9.451631 |
| Sample Variance | 89.33333 |
| Kurtosis | 1.049154 |
| Skewness | 0.189496 |
| Range | 35 |
| Minimum | 50 |
| Maximum | 85 |
| Sum | 670 |
| Count | 10 |
| Largest(1) | 85 |
| Smallest(1) | 50 |
| Confidence Level(95.0%) | 6.76129 |
SUMMARY STAISTICS FOR CLASS B
| Column1 | |
| Mean | 67 |
| Standard Error | 5.917958 |
| Median | 69 |
| Mode | #N/A |
| Standard Deviation | 18.71423 |
| Sample Variance | 350.2222 |
| Kurtosis | -1.52492 |
| Skewness | -0.21157 |
| Range | 52 |
| Minimum | 39 |
| Maximum | 91 |
| Sum | 670 |
| Count | 10 |
| Largest(1) | 91 |
| Smallest(1) | 39 |
| Confidence Level(95.0%) | 13.38735 |
SUMMARY STAISTICS FOR CLASS C
| Column1 | |
| Mean | 67 |
| Standard Error | 7.07735 |
| Median | 60.5 |
| Mode | #N/A |
| Standard Deviation | 22.38055 |
| Sample Variance | 500.8889 |
| Kurtosis | -0.37231 |
| Skewness | 0.853689 |
| Range | 67 |
| Minimum | 43 |
| Maximum | 110 |
| Sum | 670 |
| Count | 10 |
| Largest(1) | 110 |
| Smallest(1) | 43 |
| Confidence Level(95.0%) | 16.01008 |
VARIANCE LESS IN CLASS A