in order to use the defining formula for sample standard deviation, it is helpful to first calculate (x…

in order to use the defining formula for sample standard deviation, it is helpful to first calculate (x - x̅)² for each data value in the data set 1, 3, 5, 6, 7. use the values in the data set and the previously determined mean, x̅ = 4.4, to complete the following table.\n|x|x̅|x - x̅|(x - x̅)²|\n|----|----|----|----|\n|1|4.4|-3.4|11.56|\n|3|4.4||1.96|\n|5|4.4|0.6||\n|6|4.4||2.56|\n|7|4.4|2.6||

in order to use the defining formula for sample standard deviation, it is helpful to first calculate (x - x̅)² for each data value in the data set 1, 3, 5, 6, 7. use the values in the data set and the previously determined mean, x̅ = 4.4, to complete the following table.\n|x|x̅|x - x̅|(x - x̅)²|\n|----|----|----|----|\n|1|4.4|-3.4|11.56|\n|3|4.4||1.96|\n|5|4.4|0.6||\n|6|4.4||2.56|\n|7|4.4|2.6||

Answer

Explanation:

Step1: Calculate $x - \bar{x}$ for $x = 3$

$3 - 4.4=-1.4$

Step2: Calculate $(x - \bar{x})^2$ for $x = 5$

$0.6^2 = 0.36$

Step3: Calculate $x - \bar{x}$ for $x = 6$

$6 - 4.4 = 1.6$

Step4: Calculate $(x - \bar{x})^2$ for $x = 7$

$2.6^2=6.76$

Answer:

$x$ $\bar{x}$ $x - \bar{x}$ $(x - \bar{x})^2$
1 4.4 -3.4 11.56
3 4.4 -1.4 1.96
5 4.4 0.6 0.36
6 4.4 1.6 2.56
7 4.4 2.6 6.76