To solve this question, let's proceed step by step.
### Step 1: Calculate the mean of the population data
First, list out all the elements in the population data:
[tex]\[ 4, 5, 3, 1, 3, 2, 2, 3, 5, 7, 3, 6, 3, 0, 1, 5, 0, 4, 3, 6 \][/tex]
Next, sum all these numbers:
[tex]\[ 4 + 5 + 3 + 1 + 3 + 2 + 2 + 3 + 5 + 7 + 3 + 6 + 3 + 0 + 1 + 5 + 0 + 4 + 3 + 6 = 66 \][/tex]
Then, count the number of elements which is 20.
Now, calculate the mean of the population:
[tex]\[ \text{Mean of Population} = \frac{66}{20} = 3.3 \][/tex]
### Step 2: Calculate the mean of the sample data
List the sample data:
[tex]\[ 5, 4, 6, 2, 1 \][/tex]
Sum these numbers:
[tex]\[ 5 + 4 + 6 + 2 + 1 = 18 \][/tex]
Count the number of elements in the sample which is 5.
Now, calculate the mean of the sample:
[tex]\[ \text{Mean of Sample} = \frac{18}{5} = 3.6 \][/tex]
### Step 3: Compare the two means
The difference between the mean of the sample and the mean of the population is:
[tex]\[ \text{Difference} = 3.6 - 3.3 = 0.3 \][/tex]
Therefore, the difference between the mean of the sample and the mean of the population is:
[tex]\[ \boxed{0.3} \][/tex]
