Sure, let's find the mean of the data set provided. The data set is:
[tex]\[ 14, 32, 0, -4, 35, 18, 25, 6, -9, 4 \][/tex]
Here are the detailed steps to calculate the mean:
1. Sum all the numbers in the data set:
[tex]\[ 14 + 32 + 0 - 4 + 35 + 18 + 25 + 6 - 9 + 4 = 121 \][/tex]
2. Count the total number of values in the data set:
There are 10 values.
3. Calculate the mean by dividing the sum by the number of values:
[tex]\[ \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{121}{10} = 12.1 \][/tex]
4. Round the mean to one decimal place (if necessary):
The mean is already 12.1, so no further rounding is needed.
Therefore, the mean of this data set is 12.1.
