If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1 4 2 2 3 3 Row 2 3 3 4 3 2 Row 3 2 4 3 4 3 Row 4 3 4 4 7 3 Row 1 Row 2 R

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Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula [tex]\bar{x}=\frac{\Sigma x}{n}[/tex], where,

[tex]\bar{x}=\text{Mean}[/tex],

[tex]\Sigma x=\text{Sum of all data values}[/tex],

[tex]n=\text{Number of data points in sample}[/tex]

Let us find mean of each row using above formula.

[tex]\text{Mean of row 1}=\frac{4+2+2+3+3}{5}[/tex]

[tex]\text{Mean of row 1}=\frac{14}{5}[/tex]

[tex]\text{Mean of row 1}=2.8[/tex]

Therefore, mean of 1st row is 2.8.

[tex]\text{Mean of row 2}=\frac{3+3+4+3+2}{5}[/tex]

[tex]\text{Mean of row 2}=\frac{15}{5}[/tex]

[tex]\text{Mean of row 2}=3[/tex]

Therefore, mean of 2nd row is 3.

[tex]\text{Mean of row 3}=\frac{2+4+3+4+3}{5}[/tex]

[tex]\text{Mean of row 3}=\frac{16}{5}[/tex]

[tex]\text{Mean of row 3}=3.2[/tex]

Therefore, mean of 3rd row is 3.2.

[tex]\text{Mean of row 4}=\frac{3+4+4+7+3}{5}[/tex]

[tex]\text{Mean of row 4}=\frac{21}{5}[/tex]

[tex]\text{Mean of row 4}=4.2[/tex]

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

The 4th row

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