Question: Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class
Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values,11.1.
| Interval | Frequency |
| 20-36 | 1 |
| 27-33 | 1 |
| 34-40 | 1 |
| 41-47 | 3 |
| 48-54 | 16 |
| 55-61 | 39 |
| 62-68 | 33 |
| STANDARD DEVIATION = (ROUND TO ONE DECIMAL PLACE AS NEEDED) | |
Consider a difference of 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard deviation, 11.1? |
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