Question

find the mean, median, and mode of the following data: (round to 1 decimal place as needed) 35, 17, 20, 31, 17, 27, 33, 17, 27, 18 mean = 24.2 median = enter an integer or decimal number more... mode = 17

Explanation:

Step1: Arrange data in ascending order

17, 17, 17, 17, 18, 20, 27, 27, 31, 33, 35

Step2: Find the median position

There are \(n = 10\) data - points. The median position for \(n\) even is \(\frac{n}{2}\) and \(\frac{n}{2}+1\). Here, \(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+1 = 6\).

Step3: Calculate the median

The median is the average of the 5th and 6th ordered - data values. \(\text{Median}=\frac{18 + 20}{2}=\frac{38}{2}=19\)

Answer:

19