question\nfind the median and mean of the data set below:\n9, 45, 25, 41\nanswer attempt 1 out of 2\nmedian…

Explanation:

Step1: Sort the data set

Sort the data set (9,45,25,41) in ascending - order: (9,25,41,45).

Step2: Calculate the median

Since there are (n = 4) data points (an even number of data points), the median is the average of the two middle - values. The two middle - values are the 2nd and 3rd values. Median(=\frac{25 + 41}{2}=\frac{66}{2}=33).

Step3: Calculate the mean

The formula for the mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}), where (x_{i}) are the data points and (n) is the number of data points. Here, (n = 4), (x_1=9), (x_2 = 25), (x_3=41), (x_4 = 45). Mean(=\frac{9 + 25+41 + 45}{4}=\frac{120}{4}=30).

Answer:

Median = 33 Mean = 30