Question

consider the following sample data, which represent weights walnuts in grams: { 13.2, 13.2, 14.1, 14.1, 14.3, 14.4, 14.4, 14.4, 14.9, 15.8, 16, 16, 16.1, 16.2, 17.4, 17.5, 18.4, 18.6, 19.2, 20.9 }. first, give the mean of the data set. part 2 of 6 next, give the median of the data set. part 3 of 6 now give the mode of the data set. if there is more than one, write them in order, separated by commas. part 4 of 6 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 $\{13.2, 13.2, 14.1, 14.1, 14.3, 14.4, 14.4, 14.4, 14.9, 15.8, 16, 16, 16.1, 16.2, 17.4, 17.5, 18.4, 18.6, 19.2, 20.9\}$ is $13.2$ and the maximum value is $20.9$.

Step3: Calculate mid - range

$\frac{13.2 + 20.9}{2}=\frac{34.1}{2}=17.05$

Answer:

$17.05$