Question

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. next, give the median of the data set. now give the mode of the data set. if there is more than one, write them in order, separated by commas. give the midrange of the data set.

Explanation:

Step1: Recall mid - range formula

The mid - range is calculated as $\frac{\text{Minimum value}+\text{Maximum value}}{2}$.

Step2: Identify minimum and maximum values

The minimum value in the data set $\{1.4, 1.5, 1.7, 2, 2.1, 2.1, 2.1, 2.1, 2.2, 2.2, 2.3, 2.3, 2.3, 2.4, 2.4, 2.5, 2.5, 2.7, 2.9\}$ is $1.4$ and the maximum value is $2.9$.

Step3: Calculate mid - range

$\frac{1.4 + 2.9}{2}=\frac{4.3}{2}=2.15$

Answer:

$2.15$