Question

consider the following sample data, which represent weights of sea mussels grown on the california coast, in grams: {1.8, 1.8, 1.9, 2, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.3, 2.3, 2.4, 2.6, 2.8, 2.9, 3, 3}. first, give the mean of the data set.

Explanation:

Step1: Calculate sum of data

Sum all the values in the data - set.
$1.8\times2 + 1.9+2+2.1\times2+2.2\times2+2.3\times6+2.4+2.6+2.8+2.9+3\times2$
$=3.6 + 1.9+2+4.2+4.4+13.8+2.4+2.6+2.8+2.9+6$
$=44.6$

Step2: Calculate number of data - points

Count the number of values in the data - set. There are 20 values.
$n = 20$

Step3: Calculate the mean

The mean $\bar{x}=\frac{\text{Sum of data}}{\text{Number of data - points}}$.
$\bar{x}=\frac{44.6}{20}=2.23$

Answer:

$2.23$