find the median and mean of the data set below:\n16, 27, 24, 13, 15, 2, 50\nanswer attempt 1 out of…

Explanation:

Step1: Sort the data set

Sort the data set (16, 27, 24, 13, 15, 2, 50) in ascending order: (2,13,15,16,24,27,50).

Step2: Find the median

Since there are (n = 7) (odd number of data points), the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{7+1}{2}=4)-th value. The (4)-th value in the sorted set (2,13,15,16,24,27,50) is (16).

Step3: Find the mean

The formula for the mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}). Here, (\sum_{i=1}^{7}x_{i}=2 + 13+15+16+24+27+50=147) and (n = 7). So, (\bar{x}=\frac{147}{7}=21).

Answer:

Median (=16), Mean (=21)