To find the mean of a sample consisting of 10 values randomly selected from a table, follow these steps:
1. Sum the Values:
First, add together all the values in the sample:
[tex]\[
7 + 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38
\][/tex]
When summed, these values give a total of 210.
2. Count the Number of Values:
Next, count the number of values in the sample. Since the problem states that there are 10 values, we have:
[tex]\[
\text{Number of values} = 10
\][/tex]
3. Calculate the Mean:
The mean is found by dividing the total sum of the values by the number of values:
[tex]\[
\text{Mean} = \frac{210}{10}
\][/tex]
This results in:
[tex]\[
\text{Mean} = 21.0
\][/tex]
Therefore, the mean of the third sample is [tex]\( \boxed{21.0} \)[/tex].