In: Statistics and Probability
| Jan | 523.9 |
| Feb | 510.23 |
| March | 545.65 |
| April | 514.23 |
| May | 550.71 |
| June | 505.34 |
| July | 525.34 |
| August | 600 |
| Sept. | 569.42 |
| October | 500.2 |
| Novem. | 533.12 |
| December |
507.11 |
What percentage of your bills are within two standard deviations of the mean?
The answer is:

First, we calculate the mean, standard deviation. Then we calculate the upper and lower limits of the 2 SD of the mean as shown below:
| Mean | 532.1041667 |
| SD | 29.85258675 |
| Mean - 2*SD | 472.40 |
| Mean + 2*SD | 591.81 |
Then test whether individual values are within this interval or not:
| Month | Amount | Is between Mean - 2*SD and Mean + 2*SD |
| Jan | 523.9 | TRUE |
| Feb | 510.23 | TRUE |
| Mar | 545.65 | TRUE |
| Apr | 514.23 | TRUE |
| May | 550.71 | TRUE |
| Jun | 505.34 | TRUE |
| Jul | 525.34 | TRUE |
| Aug | 600 | FALSE |
| Sep | 569.42 | TRUE |
| Oct | 500.2 | TRUE |
| Nov | 533.12 | TRUE |
| Dec | 507.11 | TRUE |
Then ratio is simply 11/12
Using excel to answer the same:

Calulations:

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