Question

of the population with the mean of the sample.

population data
0 3 3 1 3
2 2 2 5 4
3 3 3 0 1
2 0 2 3 3

sample data
5 3 0 2 4

what is the difference between the mean of the sample and the mean of the population?
0.55
1.25
2.25
2.80

Explanation:

Step1: Calculate population sum

Add all population values:
$0+3+3+1+3+2+2+2+5+4+3+3+3+0+1+2+0+2+3+3 = 48$

Step2: Find population mean

Divide sum by population size ($n=20$):
$\text{Population Mean} = \frac{48}{20} = 2.4$

Step3: Calculate sample sum

Add all sample values:
$5+3+0+2+4 = 14$

Step4: Find sample mean

Divide sum by sample size ($n=5$):
$\text{Sample Mean} = \frac{14}{5} = 2.8$

Step5: Compute mean difference

Subtract population mean from sample mean:
$2.8 - 2.4 = 0.4$
Wait, correction: Recheck population sum:
$0+3+3+1+3=10$; $2+2+2+5+4=15$; $3+3+3+0+1=10$; $2+0+2+3+3=10$. Total: $10+15+10+10=45$
Revised Step2: $\text{Population Mean} = \frac{45}{20} = 2.25$
Revised Step5: $2.8 - 2.25 = 0.55$

Answer:

0.55