Question: How do you calculate the mean, variance, and standard deviation from this: The top chart is the 100 value data set and the second table
How do you calculate the mean, variance, and standard deviation from this: The top chart is the 100 value data set and the second table is my frequency table.
| 1 | 11 | 13 | 15 | 20 | 21 | 21 | 25 | 26 | 40 | ||
| 38 | 38 | 38 | 39 | 39 | 39 | 40 | 40 | 48 | 60 | ||
| 46 | 46 | 47 | 47 | 47 | 47 | 48 | 48 | 69 | 70 | ||
| 54 | 54 | 55 | 55 | 55 | 55 | 56 | 57 | 71 | 74 | ||
| 26 | 28 | 28 | 30 | 30 | 31 | 32 | 32 | 76 | 79 | ||
| 41 | 41 | 41 | 41 | 42 | 43 | 43 | 43 | 90 | 59 | ||
| 49 | 49 | 49 | 50 | 50 | 51 | 51 | 51 | 51 | 52 | ||
| 61 | 61 | 63 | 63 | 64 | 65 | 66 | 67 | 52 | 53 | ||
| 32 | 33 | 35 | 36 | 36 | 37 | 38 | 26 | 53 | 53 | ||
| 43 | 43 | 44 | 45 | 45 | 46 | 46 | 40 | 53 | 48 | ||
| Groups (ranges) | Frequency | Relative Frequency | Cumulative Relative Frequency | CRF as a % | |||||||
| 1 - 10 | 1 | 0.01 | 0.01 | 1% | |||||||
| 11 - 20 | 4 | 0.04 | 0.05 | 5% | |||||||
| 21 - 30 | 10 | 0.1 | 0.15 | 15% | |||||||
| 31 - 40 | 20 | 0.2 | 0.35 | 35% | |||||||
| 41 - 50 | 30 | 0.3 | 0.65 | 65% | |||||||
| 51 - 60 | 20 | 0.2 | 0.85 | 85% | |||||||
| 61 - 70 | 10 | 0.1 | 0.95 | 95% | |||||||
| 71 - 80 | 4 | 0.04 | 0.99 | 99% | |||||||
| 81 - 90 | 1 | 0.01 | |||||||||
| Total | 100 | 1 | 1 | 100% | |||||||
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