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Question
Calculate GM for the following table gives the weight of 31 persons in the sample survey.
| Weight (lbs): | 130 | 135 | 140 | 145 | 146 | 148 | 149 | 150 | 157 |
| Frequency | 3 | 4 | 6 | 6 | 3 | 5 | 2 | 1 | 1 |
Solution
| Weight (x) | Frequency (f) | log x | f log x |
| 130 | 3 | 2.1139 | 6.3417 |
| 135 | 4 | 2.1303 | 8.5212 |
| 140 | 6 | 2.1461 | 12.8766 |
| 145 | 6 | 2.1614 | 12.9684 |
| 146 | 3 | 2.1644 | 6.4932 |
| 148 | 5 | 2.1703 | 10.8515 |
| 149 | 2 | 2.1732 | 4.3464 |
| 150 | 1 | 2.1761 | 2.1761 |
| 157 | 1 | 2.1959 | 2.1959 |
| N = 31 | 66.771 |
Geometric Mean (GM) = Antilog `((sum "f log x")/"N")`
= Antilog `((66.771)/31)`
= Antilog (2.1539)
GM = 142.5 lbs
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