Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the median and mean of the data set below: 44,4,27,5 answer attemp…

Question

find the median and mean of the data set below:
44,4,27,5
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Find the Median

First, we need to sort the data set in ascending order. The data set is \(44, 4, 27, 5\). Sorting it gives \(4, 5, 27, 44\). Since there are 4 (an even number) of data points, the median is the average of the two middle numbers. The two middle numbers are the 2nd and 3rd numbers, which are \(5\) and \(27\). So, the median is \(\frac{5 + 27}{2}=\frac{32}{2} = 16\).

Step2: Find the Mean

The mean is calculated by summing all the data points and dividing by the number of data points. The sum of the data points is \(44 + 4 + 27 + 5 = 80\). There are 4 data points, so the mean is \(\frac{80}{4}=20\).

Answer:

Median = \(16\), Mean = \(20\)