Calculate the sample mean and sample variance for the following frequency distribution of heights in centimeters for a sample of 8-year-old boys. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
Class | Frequency |
---|---|
117.1 - 120.8 | 14 |
120.9 - 124.6 | 20 |
124.7 - 128.4 | 40 |
128.5 - 132.2 | 44 |
132.3 - 136.0 | 26 |
117.1 - 120.8 | 14 | 118.95 | 1665.3 | 14149.10 | 198087.435 |
120.9 - 124.6 | 20 | 122.75 | 2455 | 15067.56 | 301351.250 |
124.7 - 128.4 | 40 | 126.55 | 5062 | 16014.90 | 640596.100 |
128.5 - 132.2 | 44 | 130.35 | 5735.4 | 16991.12 | 747609.390 |
132.3 - 136.0 | 26 | 134.15 | 3487.9 | 17996.22 | 467901.785 |
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