IDNLearn.com offers a unique blend of expert answers and community-driven insights. Join our interactive community and get comprehensive, reliable answers to all your questions.

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

Sagot :

Given:

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

Find:

The measure of the typical value

Explanation:

[tex]\begin{gathered} \text{ Mean=}\frac{\text{ Sum of observations}}{Total\text{ number of observations}} \\ \text{ } \\ \text{ Mean=}\frac{8+12+12+12+12+30}{6} \\ \\ \text{ Mean=}\frac{86}{6} \\ \\ =14.33 \end{gathered}[/tex]

so the value of mean is 14.33

For Median.

For even terms is:

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

So the median is:

[tex]\begin{gathered} \text{ Median=}\frac{12+12}{2} \\ \\ =12 \end{gathered}[/tex]

So mean and median good measure of typical value.