consider the following sample data, which represent weights of sea mussels grown on the california coast, in…

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.
Answer
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:
$2.095$