Question

an article reported on a long-term study of the effects of hurricanes on tropical streams of a forest. the study shows that a hurricane had a significant impact on stream water chemistry. the following shows a sample of 10 ammonia fluxes in the first year after the hurricane. data are in kilograms per hectare per year. complete parts (a) through (c) below.
91 75 144 144 171 117 56 56 89 158

a. find the mean.
the mean is
(type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Sum all the data values

We have the data: 91, 75, 144, 144, 171, 117, 56, 56, 89, 158.
Sum them up: \(91 + 75 + 144 + 144 + 171 + 117 + 56 + 56 + 89 + 158\)
First, calculate step by step:
\(91+75 = 166\)
\(166+144 = 310\)
\(310+144 = 454\)
\(454+171 = 625\)
\(625+117 = 742\)
\(742+56 = 798\)
\(798+56 = 854\)
\(854+89 = 943\)
\(943+158 = 1101\)

Step2: Divide the sum by the number of data points (n = 10)

The formula for the mean \(\bar{x}\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 10\) and \(\sum_{i=1}^{n}x_{i}=1101\)
So, \(\bar{x}=\frac{1101}{10}=110.1\)

Answer:

110.1