To find the mean of a given set of data items, follow these steps:
1. List the Data Items: Write down all the numbers in the data set.
Data: 4, 7, 8, 3, 1, 5, 2, 9
2. Sum the Data Items: Add all the numbers together.
[tex]\(4 + 7 + 8 + 3 + 1 + 5 + 2 + 9\)[/tex]
3. Count the Number of Data Items: Determine how many numbers are in the list.
There are 8 numbers in the data set.
4. Divide the Sum by the Number of Data Items: Divide the total sum by the count of numbers to find the mean.
[tex]\(\text{Mean} = \frac{\text{Sum of data items}}{\text{Number of data items}}\)[/tex]
5. Calculate the Mean: Use the total sum and the count from the steps above.
Given that the total sum of the data items is 39 and the number of items is 8, we divide the sum by the number of items:
[tex]\[
\text{Mean} = \frac{39}{8}
\][/tex]
6. Result: Performing the division gives us:
[tex]\[
\text{Mean} = 4.875
\][/tex]
Therefore, the mean of the given group of data items is 4.875.
