Calculate the annual arithmetic mean, geometric mean, and percentage exceedance (>400 col/100ml) for Fecal Coliforms for the year? What does the difference in the arithmetic and geometric means tell us about the data? What is the total load (in both kg and lbs) of Nitrogen and Phosphorous for the year?
Calculate the annual arithmetic mean, geometric mean, and percentage exceedance (>400 col/100ml) for Fecal Coliforms for the year? What does the difference in the arithmetic and geometric means tell us about the data? What is the total load (in both kg and lbs) of Nitrogen and Phosphorous for the year?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculate the annual arithmetic mean, geometric mean, and percentage exceedance (>400 col/100ml) for Fecal Coliforms for the year? What does the difference in the arithmetic and geometric means tell us about the data?
What is the total load (in both kg and lbs) of Nitrogen and Phosphorous for the year?

Transcribed Image Text:### Monthly Water Quality Data
The table below provides a summary of water quality metrics measured monthly. The data covers average discharge rates, fecal coliform concentrations, and levels of nitrogen and phosphorus.
| Month | Avg Discharge Rate (CFS) | Fecal Coliform (col/100ml) | Nitrogen (mg/L) | Phosphorus (mg/L) |
|-------|--------------------------|---------------------------|-----------------|------------------|
| Jan | 340.8 | 25 | 0.8 | 0.067 |
| Feb | 639.3 | 105 | 1.52 | 0.09 |
| Mar | 905.9 | 95 | 1.84 | 0.092 |
| Apr | 1216.2 | 2600 | 1.06 | 0.091 |
| May | 496.7 | 370 | 1.27 | 0.123 |
| Jun | 197.4 | 114 | 1.12 | 0.131 |
| Jul | 243.6 | 9200 | 1.18 | 0.223 |
| Aug | 1083 | 390 | 1.26 | 0.227 |
| Sep | 1628 | 520 | 2.38 | 0.436 |
| Oct | 1501 | 800 | 1 | 0.093 |
| Nov | 2579 | 58 | 0.84 | 0.061 |
| Dec | 2278 | 600 | 1.02 | 0.168 |
### Explanation:
- **Avg Discharge Rate (CFS):** This column represents the average discharge rate of water in cubic feet per second for each month.
- **Fecal Coliform (col/100ml):** Indicates the concentration of fecal coliform bacteria measured in colonies per 100 milliliters of water. High levels can indicate contamination and potential health risks.
- **Nitrogen (mg/L):** Shows the concentration of nitrogen in milligrams per liter of water.
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