Question

For the following set of data, find the number of data within 1 population standarddeviation of the mean.68 68 70 61 67 71 63 67

Answer 1

68 68 70 61 67 71 63 67



Step 1: Write the formula of standard deviation

`\text{Stanadard deviation = }\sqrt[]{\frac{Sum(x\text{ - }\mu)^2}{n}}`
`\begin{gathered} \text{Where } \\ n\text{ = number of data } \\ \mu\text{ = mean} \end{gathered}`

n = 8

Step 2: Find the mean

Step 3: find the standard deviation

Next, substitute to find the standard deviation

`\begin{gathered} \text{standard deviation = }\sqrt[]{\frac{sum(x\text{ - }\mu)^2}{n}} \\ =\text{ }\sqrt[]{(78.88)/(8)} \\ =\text{ }\sqrt[]{9.86} \\ =\text{ 3.14} \end{gathered}`

standard deviation = 3.14

Final answer

The number of data within the standard deviation of the mean = 5