To find the median and mean of the given data set (20, 4, 17, 44, 48, 29), let's follow the steps below.
Median
The median is the middle number of a data set when it is ordered from least to greatest.
1. First, arrange the data in ascending order:
Data set in ascending order: 4, 17, 20, 29, 44, 48
2. Then, find the middle of the list. Since we have an even number of data points (6 numbers), the median will be the average of the two middle numbers.
The two middle numbers are 20 and 29.
3. Calculate the average of these two numbers:
Median = (20 + 29) / 2
Median = 49 / 2
Median = 24.5
Mean
The mean is the average of all the numbers in the data set.
1. Add all the numbers together:
Sum = 4 + 17 + 20 + 29 + 44 + 48
Sum = 162
2. Divide the sum by the number of data points in the set to find the mean. There are 6 numbers in the data set.
Mean = Sum / Number of data points
Mean = 162 / 6
Mean = 27
Therefore, the median of the data set is 24.5 and the mean is 27.
