Question

question find the median and mean of the data set below: 44, 3, 21, 35, 21, 29 answer attempt 1 out of 2 median = mean =

Explanation:

Step1: Sort the data set

First, we sort the data set \( 44, 3, 21, 35, 21, 29 \) in ascending order. The sorted data set is \( 3, 21, 21, 29, 35, 44 \).

Step2: Find the median

Since there are \( n = 6 \) (an even number) of data points, the median is the average of the \( \frac{n}{2} \)-th and \( (\frac{n}{2}+1) \)-th values.
\( \frac{n}{2}=\frac{6}{2} = 3 \)-rd value and \( \frac{n}{2}+1=4 \)-th value.
The 3rd value is \( 21 \) and the 4th value is \( 29 \).
Median \(=\frac{21 + 29}{2}=\frac{50}{2}=25\).

Step3: Find the mean

The mean is calculated by the formula \( \text{Mean}=\frac{\sum_{i = 1}^{n}x_{i}}{n} \), where \( x_{i} \) are the data points and \( n \) is the number of data points.
\( \sum_{i=1}^{6}x_{i}=3 + 21+21 + 29+35 + 44=153 \)
\( n = 6 \)
Mean \(=\frac{153}{6}=25.5\)

Answer:

Median = 25, Mean = 25.5