4th Grade (Class 1) | 4th Grade (Class 2) |
12 | 10 |
15 | 12 |
21 | 16 |
21 | 17 |
22 | 17 |
22 | 19 |
22 | 19 |
25 | 22 |
26 | 22 |
27 | 22 |
27 | 27 |
31 | 28 |
32 | 29 |
33 | 29 |
33 | 31 |
36 | 31 |
37 | 31 |
38 | 33 |
41 | 33 |
43 | 37 |
44 | 39 |
45 | 43 |
45 | 43 |
47 | 47 |
55 | 49 |
57 | 57 |
The collected data is from two 4th grade (All female classes - Age 10) Fitnessgram pacer tests. Once you have analyzed the data, please answer the following questions.
What is the best average to use, the mean, median, or mode? Why?
Data Summary:
4th Grade (Class 1) | 4th Grade (Class 2) | |
Mean | 32.962 | 29.346 |
Median | 32.500 | 29.000 |
Mode | 22.000 | 22.000 |
Std. Deviation | 11.807 | 11.940 |
We know that:
As we can see both of the data sets above are slightly right-skewed and thus the best measure of central tendency would be median though mean can also be used as the skew is not too aggressive.
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