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