Find the median and mean of the data set below:

20, comma, 4, comma, 17, comma, 44, comma, 48, comma, 29
20,4,17,44,48,29
Answer

1 answer

To find the median and mean of the data set \(20, 4, 17, 44, 48, 29\), we can follow these steps:

Step 1: Organize the data

First, we should sort the data in ascending order:

\[ 4, 17, 20, 29, 44, 48 \]

Step 2: Find the median

The median is the middle value of a data set. Since there are 6 numbers (an even number), the median will be the average of the two middle numbers.

The two middle numbers are the 3rd and 4th values in the sorted list:

  • 3rd value: \(20\)
  • 4th value: \(29\)

Now, calculate the average:

\[ \text{Median} = \frac{20 + 29}{2} = \frac{49}{2} = 24.5 \]

Step 3: Find the mean

The mean is calculated by adding all the numbers together and then dividing by the count of numbers.

Sum of the numbers:

\[ 4 + 17 + 20 + 29 + 44 + 48 = 162 \]

Count of numbers: \(6\)

Now, calculate the mean:

\[ \text{Mean} = \frac{162}{6} = 27 \]

Final Results

  • Median: \(24.5\)
  • Mean: \(27\)