Question

use the appropriate formulas and methods to answer the following questions. do not use technology as an aid, unless otherwise stated.
part 1 of 5
hint 1 hint 2 hint 3 hint 4 hint 5
consider the following sample data, which represent weights of sea mussels grown on the california coast, in grams:
{ 1.5, 1.7, 2, 2, 2.1, 2.2, 2.3, 2.3, 2.3, 2.4, 2.5, 2.5, 2.7, 2.7, 2.8, 2.8, 3, 3.1, 3.1 }.
first, give the mean of the data set.

Explanation:

Step1: Count data - points

There are 20 data - points.

Step2: Calculate sum of data

$1.5 + 1.7+2 + 2+2.1+2.2+2.3+2.3+2.3+2.4+2.5+2.5+2.7+2.7+2.8+2.8+3+3.1+3.1$
$=(1.5 + 1.7)+(2\times2)+2.1+2.2+(2.3\times3)+2.4+(2.5\times2)+(2.7\times2)+(2.8\times2)+3+(3.1\times2)$
$=3.2 + 4+2.1+2.2 + 6.9+2.4+5+5.4+5.6+3+6.2$
$=(3.2+4)+(2.1+2.2)+6.9+2.4+5+(5.4+5.6)+3+6.2$
$=7.2+4.3+6.9+2.4+5 + 11+3+6.2$
$=(7.2+4.3)+6.9+2.4+5+11+3+6.2$
$=11.5+6.9+2.4+5+11+3+6.2$
$=(11.5+6.9)+2.4+5+11+3+6.2$
$=18.4+2.4+5+11+3+6.2$
$=(18.4+2.4)+5+11+3+6.2$
$=20.8+5+11+3+6.2$
$=(20.8+5)+11+3+6.2$
$=25.8+11+3+6.2$
$=(25.8+11)+3+6.2$
$=36.8+3+6.2$
$=(36.8+6.2)+3$
$=43+3=46$.

Step3: Calculate mean

The mean $\bar{x}=\frac{\text{Sum of data}}{\text{Number of data - points}}=\frac{46}{20}=2.3$.

Answer:

$2.3$