Question

Find the median and mean of the data set below: 14, 31, 17, 28, 25, 44

Answer 1

To find the median of the data set, we need to arrange the data in order from smallest to largest:

`14, 17, 25, 28, 31, 44`

The median is the middle value. In this case, the middle value is the average of the two middle values (25 and 28). Therefore, the median is:

`\text{Median} = (25 + 28) / 2 = 26.5`

To find the mean of the data set, we add up all the values and divide by the number of values:

`\text{Mean} = (14 + 31 + 17 + 28 + 25 + 44) / 6 = 24.83` (rounded to two decimal places)

Therefore, the median of the data set is 26.5 and the mean is 24.83.