Question

consider the following sample data, which represent weights of sea mussels grown on the california coast, in grams: { 1.4, 1.8, 1.8, 1.9, 1.9, 1.9, 2, 2, 2.1, 2.2, 2.3, 2.3, 2.3, 2.3, 2.5, 2.5, 2.5, 2.6, 2.6 }. first, give the mean of the data set.

Explanation:

Step1: Calculate sum of data

$1.4 + 1.8\times2+1.9\times3 + 2\times2+2.1+2.2+2.3\times4+2.5\times3+2.6\times2$
$=1.4 + 3.6+5.7+4+2.1+2.2+9.2+7.5+5.2$
$=41.9$

Step2: Calculate number of data points

There are $20$ data - points.

Step3: Calculate the mean

The mean $\bar{x}=\frac{41.9}{20}=2.095$

Answer:

$2.095$