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: {1.8, 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.

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.

Answer

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:

$2.23$