In: Math
Given their performance record and based on empirical rule what would be the upper bound of the range of sales values that contains 68% of the monthly sales?
| Monthly Sales |
| 7612.98 |
| 8393.66 |
| 7780.23 |
| 7091.18 |
| 9450.62 |
| 8220.44 |
| 7339.97 |
| 8589.48 |
| 7621.12 |
| 8067.21 |
| 7432.08 |
| 7621.69 |
| 7256.68 |
| 7821.21 |
| 8074.25 |
| 8173.28 |
| 7745.28 |
| 7398.05 |
| 7098.52 |
| 8484.65 |
| 7987.16 |
| 7041.5 |
| 7937.03 |
| 8508.25 |
| 8145.68 |
| 7802.15 |
| 8482.05 |
| 6171.19 |
| 8870.03 |
| 7906.6 |
| 9093.87 |
| 8010.37 |
| 6971.06 |
| 8800.08 |
| 7209.09 |
| 8852.65 |
| 8319.31 |
| 7982.86 |
| 8405.35 |
| 9166.74 |
| 7634.14 |
| 8315.4 |
| 8680.97 |
| 7540.09 |
| 9461.91 |
| 9414.57 |
| 9335.68 |
| 8638.78 |
| 7285.7 |
| 8376.95 |
| 9448.4 |
| 8360.16 |
| 7767.16 |
| 8072.17 |
| 9723.44 |
| 10062.24 |
| 8066.42 |
| 8721.08 |
| 9389.73 |
| 7474.23 |
An estimated 68% of the data within the set is positioned within one standard deviation of the mean; i.e., 68% lies within the range [M - SD, M + SD].
Approx. 68% of the data lies between ± 1 SD, or between 7391.79 and 8965.03

Formula Ref:
