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, 1.5, 1.7, 2, 2.1, 2.1, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.4, 2.4, 2.5, 2.5, 2.7, 2.9 }. 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: { 1.4, 1.5, 1.7, 2, 2.1, 2.1, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.4, 2.4, 2.5, 2.5, 2.7, 2.9 }. first, give the mean of the data set.

Answer

Explanation:

Step1: Count data points

There are 20 data - points in the set.

Step2: Sum of data points

$1.4 + 1.5+1.7 + 2+2.1\times4+2.2\times2+2.3\times3+2.4\times2+2.5\times2+2.7+2.9$ $=1.4 + 1.5+1.7 + 2+(2.1\times4)+(2.2\times2)+(2.3\times3)+(2.4\times2)+(2.5\times2)+2.7+2.9$ $=1.4 + 1.5+1.7 + 2 + 8.4+4.4+6.9+4.8+5+2.7+2.9$ $=(1.4 + 1.5+1.7 + 2)+8.4+4.4+6.9+4.8+5+2.7+2.9$ $=6.6+8.4+4.4+6.9+4.8+5+2.7+2.9$ $=(6.6 + 8.4)+4.4+6.9+4.8+5+2.7+2.9$ $=15+4.4+6.9+4.8+5+2.7+2.9$ $=(15 + 4.4)+6.9+4.8+5+2.7+2.9$ $=19.4+6.9+4.8+5+2.7+2.9$ $=(19.4 + 6.9)+4.8+5+2.7+2.9$ $=26.3+4.8+5+2.7+2.9$ $=(26.3 + 4.8)+5+2.7+2.9$ $=31.1+5+2.7+2.9$ $=(31.1 + 5)+2.7+2.9$ $=36.1+2.7+2.9$ $=(36.1 + 2.7)+2.9$ $=38.8+2.9$ $=41.7$

Step3: Calculate the mean

The mean $\bar{x}=\frac{\text{Sum of data points}}{\text{Number of data points}}=\frac{41.7}{20}=2.085$

Answer:

$2.085$