Question

consider the following sample data, which represent weights walnuts in grams: { 10.6, 10.9, 11.6, 11.7, 12.9, 13.5, 13.5, 14, 14, 14, 14.4, 14.6, 14.9, 15.4, 16.3, 16.6, 17.2, 17.2, 17.8 , 18.5 }. 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. finally, give the midrange of the data set.

Explanation:

Step1: Recall mid - range formula

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

Step2: Identify maximum and minimum values

The minimum value in the data set $\{10.6, 10.9, 11.6, 11.7, 12.9, 13.5, 13.5, 14, 14, 14, 14.4, 14.6, 14.9, 15.4, 16.3, 16.6, 17.2, 17.2, 17.8, 18.5\}$ is $10.6$ and the maximum value is $18.5$.

Step3: Calculate mid - range

$\frac{10.6 + 18.5}{2}=\frac{29.1}{2}=14.55$

Answer:

$14.55$