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. 2.2 part 2 of 5 next, give the median 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. 2.2 part 2 of 5 next, give the median of the data set.

Answer

Explanation:

Step1: Count data - points

The data - set has $n = 20$ values.

Step2: Arrange data in ascending order

The data is already in ascending order: ${1.8, 1.8, 1.9, 2, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.3, 2.3, 2.4, 2.6, 2.8, 2.9, 3, 3}$.

Step3: Find median position

For a data - set with $n$ values (where $n$ is even), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered values. Here, $\frac{n}{2}=\frac{20}{2}=10$ and $\frac{n}{2}+1 = 11$.

Step4: Identify median values

The 10th value is $2.3$ and the 11th value is $2.3$.

Step5: Calculate median

Median $=\frac{2.3 + 2.3}{2}=2.3$.

Answer:

$2.3$