Question

the following data represent the concentration of dissolved organic carbon (mg/l) collected from 20 samples of organic soil. assume that the population is normally distributed. complete parts (a) through (c) on the right.
22.49 29.80 27.10 16.51 15.72
8.81 5.20 20.46 14.90 33.67
30.91 14.86 15.42 15.35 9.72
19.80 14.86 8.09 11.40 18.30
(a) find the sample mean.
the sample mean is
(round to two decimal places as needed.)

Explanation:

Step1: Sum all the data values

$$\begin{align*} &22.49 + 29.80+27.10 + 16.51+15.72+8.81+5.20+20.46+14.90+33.67+30.91+14.86+15.42+15.35+9.72+19.80+14.86+8.09+11.40+18.30\\ =&401.27 \end{align*}$$

Step2: Calculate the sample mean

The formula for the sample mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 20$ (the number of samples) and $\sum_{i=1}^{n}x_{i}=401.27$.
So, $\bar{x}=\frac{401.27}{20}=20.0635$

Step3: Round the result

Rounding $20.0635$ to two decimal places gives $20.06$

Answer:

$20.06$