Question

Which of the mean, mode, and medianare good measures of the typical valuein the data set? 8, 12, 12, 12, 12, 30A. mean and modeB. meanC. mean and medianD. mode and medianE. mode

Answer 1

Given:

Set is: 8,12,12,12,12,30

Find:

The measure of the typical value

Step-by-step explanation:

`\begin{gathered} \text{ Mean=}\frac{\text{ Sum of observations}}{Total\text{ number of observations}} \\ \text{ } \\ \text{ Mean=}(8+12+12+12+12+30)/(6) \\ \\ \text{ Mean=}(86)/(6) \\ \\ =14.33 \end{gathered}`

so the value of mean is 14.33

For Median.

For even terms is:

`\text{ Median=}\frac{((n)/(2))^{th\text{ }}\text{ term+\lparen}(n)/(2)+1)^{th\text{ }}\text{ term}}{2}`

So the median is:

`\begin{gathered} \text{ Median=}(12+12)/(2) \\ \\ =12 \end{gathered}`

So mean and median good measure of typical value.