if benito is selecting samples of five values from the table, which row will result in the greatest…

if benito is selecting samples of five values from the table, which row will result in the greatest mean?\npopulation data\nrow 1 4 2 2 3 3\nrow 2 3 3 4 3 2\nrow 3 2 4 3 4 3\nrow 4 3 4 4 7 3\nrow 1\nrow 2\nrow 3\nrow 4
Answer
Explanation:
Step1: Calculate mean of Row 1
The mean formula is $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. For Row 1, $x_1 = 4,x_2=2,x_3 = 2,x_4=3,x_5 = 3$, and $n = 5$. $\sum_{i=1}^{5}x_{i}=4 + 2+2+3+3=14$, so the mean $\bar{x}_1=\frac{14}{5}=2.8$.
Step2: Calculate mean of Row 2
For Row 2, $x_1 = 3,x_2=3,x_3 = 4,x_4=3,x_5 = 2$. $\sum_{i=1}^{5}x_{i}=3 + 3+4+3+2=15$, so the mean $\bar{x}_2=\frac{15}{5}=3$.
Step3: Calculate mean of Row 3
For Row 3, $x_1 = 2,x_2=4,x_3 = 3,x_4=4,x_5 = 3$. $\sum_{i=1}^{5}x_{i}=2 + 4+3+4+3=16$, so the mean $\bar{x}_3=\frac{16}{5}=3.2$.
Step4: Calculate mean of Row 4
For Row 4, $x_1 = 3,x_2=4,x_3 = 4,x_4=7,x_5 = 3$. $\sum_{i=1}^{5}x_{i}=3 + 4+4+7+3=21$, so the mean $\bar{x}_4=\frac{21}{5}=4.2$.
Answer:
Row 4