recall the defining formula used to compute the sample standard deviation $s = \\sqrt{\\frac{\\sum(x…

recall the defining formula used to compute the sample standard deviation $s = \\sqrt{\\frac{\\sum(x - \\bar{x})^2}{n - 1}}$ where $x$ is a member of the data set, $\\bar{x}$ is the mean, and $n$ is the number of data values. before using the formula, we must determine $\\bar{x}$ and $n$. there are five values in the data set 1, 3, 5, 6, 7, so $n = \\square$. calculate the mean $\\bar{x}=\\frac{\\sum x}{n}$ by taking the average of the data values, which is dividing the sum of the data values by the number of data values. $\\bar{x}=\\frac{\\sum x}{n}=\\frac{1 + 3+5 + 6+7}{\\square}=\\frac{\\square}{5}=\\square$

recall the defining formula used to compute the sample standard deviation $s = \\sqrt{\\frac{\\sum(x - \\bar{x})^2}{n - 1}}$ where $x$ is a member of the data set, $\\bar{x}$ is the mean, and $n$ is the number of data values. before using the formula, we must determine $\\bar{x}$ and $n$. there are five values in the data set 1, 3, 5, 6, 7, so $n = \\square$. calculate the mean $\\bar{x}=\\frac{\\sum x}{n}$ by taking the average of the data values, which is dividing the sum of the data values by the number of data values. $\\bar{x}=\\frac{\\sum x}{n}=\\frac{1 + 3+5 + 6+7}{\\square}=\\frac{\\square}{5}=\\square$

Answer

Explanation:

Step1: Determine number of data - points

The data set is 1, 3, 5, 6, 7. The number of data - points $n$ is the count of values in the set. So $n = 5$.

Step2: Calculate the sum of data - values

$\sum x=1 + 3+5 + 6+7=22$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum x}{n}$. Substituting $\sum x = 22$ and $n = 5$, we get $\bar{x}=\frac{22}{5}=4.4$.

Answer:

$n = 5$, $\bar{x}=4.4$