Practice Arithmetic Mean Method - 8.3.1 | 8. Mean Precipitation Over an Area | Hydrology & Water Resources Engineering - Vol 1
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Arithmetic Mean Method

8.3.1 - Arithmetic Mean Method

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Practice Questions

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Question 1 Easy

What is the Arithmetic Mean Method?

💡 Hint: Think about how averages are usually calculated.

Question 2 Easy

List the formula used for the Arithmetic Mean Method.

💡 Hint: Remember what P and n stand for.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for calculating mean precipitation using the Arithmetic Mean Method?

P_mean = P_1 + P_2 + P_3
P_mean = (P_1 + P_2 + P_3) / 3
P_mean = (P_1 + P_2 + P_3) / n

💡 Hint: Recall the definition of arithmetic mean.

Question 2

True or False: The Arithmetic Mean Method is suitable in regions with significant rainfall variability.

True
False

💡 Hint: Think about when averages can be misleading.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a region with five rain gauges measuring rainfall of 3 mm, 8 mm, 10 mm, 15 mm, and 20 mm, calculate the mean precipitation and discuss how the results would differ if one gauge recorded an extremely high value.

💡 Hint: Evaluate the effect of extreme data on averages.

Challenge 2 Hard

You are estimating the mean precipitation for an area using the Arithmetic Mean Method, but you notice that one gauge is located in a drier microclimate. Discuss the implications of including or excluding its data in your calculations.

💡 Hint: Think critically about the significance of spatial variability.

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