GATE CE 2018 Set 1 — Question 58
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0EasyRainfall MeasurementHydrology & PrecipitationWater Resources Engineering
Water Resources Engineering → Hydrology & Precipitation → Rainfall Measurement
Last updated
Question
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below
The Thiessen mean value (in mm, up to one decimal place) of the rainfall is ______
| Rain Gauge Number | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Rainfall Depth (mm) | 470 | 465 | 435 | 525 | 480 | 510 |
| Area of Thiessen Polygon ( m) | 95 | 100 | 98 | 80 | 85 | 92 |
Correct answer
478.5 to 479.5
Solution
The Thiessen mean rainfall () is calculated as the weighted average of the rainfall depths, where the weights are the areas of the corresponding Thiessen polygons:Step 1: Calculate the total area ():Step 2: Calculate the sum of products of rainfall and area ():Step 3: Calculate the mean rainfall:Rounding to one decimal place, the Thiessen mean value is mm.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Hydrology & Precipitation
2026 Set 1 Q16Two reservoirs having different water levels are connected by two long parallel pipelines of same…2026 Set 1 Q17An irrigation canal is to be designed to deliver 10 cumec to meet the peak demand of 7500 hectare…2026 Set 2 Q19The Culturable Command Area (CCA) for a canal is 10000 hectares. The base period for a crop in the…2026 Set 2 Q20Following statements are made with respect to the mass curve of rainfall: (I) Slope at a point on…2026 Set 1 Q23Gradually Varied Flow (GVF) profiles in open channels given in Column 1 are to be matched with the…