Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below: Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (\times 10^{4} {m}^{2}) 95 100 98 80 85 92 The Thiessen mean value (in {mm}, up to one decimal place) of the rainfall is __________.

GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 40 of 65

Marks: +1, -0

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 __________.

Solution:

Thiessen mean value;

P_{\;\text "avg "\;}=\;{∑↙{i=1}↖{6} P_{i} A_{i}}/{∑↙{i=1}↖{6} A_{i}}

⇒ \;\; P_{\;\text "avg "\;}=\;{470 × 95+465 × 100+435 × 98+525 × 80+480 × 85+510 × 92}/{95+100+98+80+85+92}

=479.09 {mm}

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