Question

mp modeling real life the table shows the monthly rainfall amounts at a measuring station.
month jan feb mar apr may jun jul aug sep oct nov dec
rainfall (inches) 2.22 1.51 1.86 2.06 3.48 4.47 3.37 5.40 5.45 4.34 2.64 2.14
a. what is the mean monthly rainfall?

Explanation:

Step1: Sum all rainfall amounts

We add up all the monthly rainfall values: \(2.22 + 1.51 + 1.86 + 2.06 + 3.48 + 4.47 + 3.37 + 5.40 + 5.45 + 4.34 + 2.64 + 2.14\)
First, calculate step by step:
\(2.22+1.51 = 3.73\)
\(3.73+1.86 = 5.59\)
\(5.59+2.06 = 7.65\)
\(7.65+3.48 = 11.13\)
\(11.13+4.47 = 15.6\)
\(15.6+3.37 = 18.97\)
\(18.97+5.40 = 24.37\)
\(24.37+5.45 = 29.82\)
\(29.82+4.34 = 34.16\)
\(34.16+2.64 = 36.8\)
\(36.8+2.14 = 38.94\)

Step2: Divide by number of months (12)

The mean is the sum divided by the number of data points (12 months). So we calculate \(\frac{38.94}{12}\)
\(\frac{38.94}{12}=3.245\)

Answer:

The mean monthly rainfall is \(3.245\) inches.