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. 15.955 part 2 of 6 next, give the median of the data set.

Explanation:

Step1: Arrange data in order

The data is already in ascending - order: $\{13.2, 13.2, 14.1, 14.1, 14.3, 14.4, 14.4, 14.4, 14.9, 15.8, 16, 16, 16.1, 16.2, 17.4, 17.5, 18.4, 18.6, 19.2, 20.9\}$. There are $n = 20$ data points.

Step2: Calculate median

Since $n = 20$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data values. $\frac{n}{2}=10$ and $\frac{n}{2}+1 = 11$. The 10th value is $15.8$ and the 11th value is $16$. The median $M=\frac{15.8 + 16}{2}=\frac{31.8}{2}=15.9$.

Answer:

$15.9$