Listed below are mean MCAT scores listed in order by year, starting with the year 2002.
27.0, 26.8, 27.1, 27.3, 27.4, 27.7, 28.1, 27.9, 28.3, 28.2, 28.3, 28.4
What important feature of the data is not revealed by any of the measures of center? Choose all that are appropriate.
Group of answer choices
Skewness to one side
Multimodal feature in the data
Possible outliers
Depth of dispersion
All of the above.
None of the above.
Solution
Observation: | XX | X^2X2 |
1 | 27.0 | 729 |
2 | 26.8 | 718.24 |
3 | 27.1 | 734.41 |
4 | 27.3 | 745.29 |
5 | 27.4 | 750.76 |
6 | 27.7 | 767.29 |
7 | 28.1 | 789.61 |
8 | 27.9 | 778.41 |
9 | 28.3 | 800.89 |
10 | 28.2 | 795.24 |
11 | 28.3 | 800.89 |
12 | 28.4 | 806.56 |
Sum = | 332.5 | 9216.59 |
Standard Deviation : Square root of 0.3245 = 0.5696
min=26.8, max=28.4, which means that the range is
Range=max−min=28.4−26.8=1.6
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