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 74 144 144 170 112 57 57 86 152 a. find the mean. the mean is. (type an integer or decimal rounded to one decimal place as needed.)

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$, where $n$ is the number of data points and $\sum_{i=1}^{n}x_i$ is the sum of the data points. Here $n = 10$, and the data points are $x_1=91,x_2 = 74,x_3=144,x_4=144,x_5=170,x_6=112,x_7=57,x_8=57,x_9=86,x_{10}=152$.

Step2: Calculate the sum

$\sum_{i = 1}^{10}x_i=91 + 74+144+144+170+112+57+57+86+152$
$=(91 + 74)+(144+144)+170+112+(57+57)+86+152$
$=165+288+170+112 + 114+86+152$
$=(165+288)+170+112+114+86+152$
$=453+170+112+114+86+152$
$=(453+170)+112+114+86+152$
$=623+112+114+86+152$
$=(623+112)+114+86+152$
$=735+114+86+152$
$=(735+114)+86+152$
$=849+86+152$
$=(849+86)+152$
$=935+152$
$=1087$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{10}x_i}{10}=\frac{1087}{10}=108.7$.

Answer:

$108.7$