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…

Question

asked May 17, 2020 214k views

2 Answers

Mjr · Answer 1 · 2020-05-21T15:00:44+0000

Answer:

4th row will result in the greatest mean.

Explanation:

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

We will use formula
$\bar{x}=(\Sigma x)/(n)$ , where,

$\bar{x}=\text{Mean}$ ,

$\Sigma x=\text{Sum of all data values}$ ,

$n=\text{Number of data points in sample}$

Let us find mean of each row using above formula.

$\text{Mean of row 1}=(4+2+2+3+3)/(5)$

$\text{Mean of row 1}=(14)/(5)$

$\text{Mean of row 1}=2.8$

Therefore, mean of 1st row is 2.8.

$\text{Mean of row 2}=(3+3+4+3+2)/(5)$

$\text{Mean of row 2}=(15)/(5)$

$\text{Mean of row 2}=3$

Therefore, mean of 2nd row is 3.

$\text{Mean of row 3}=(2+4+3+4+3)/(5)$

$\text{Mean of row 3}=(16)/(5)$

$\text{Mean of row 3}=3.2$

Therefore, mean of 3rd row is 3.2.

$\text{Mean of row 4}=(3+4+4+7+3)/(5)$

$\text{Mean of row 4}=(21)/(5)$

$\text{Mean of row 4}=4.2$

Therefore, mean of 4th row is 4.2.

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