1. A challenging final exam yields the following results: 10, 15, 20, 20, 25, 25, 25, 30, 30, 100. Which type of measure would best represent the center of the results and what is its value? (2 points)

Respuesta :

Answer:

10, 15, 20, 20, 25, 25, 25, 30, 30, 100

And we want to find the best represent the center of the results and for this case we can see the range given by:

[tex] Range = Max -Min = 100-10=90[/tex]

And if we find the mean we got:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n} =30[/tex]

But since the range is a large value it's better to use the median as a central measure tendency and we got:

[tex] Median = \frac{25+25}{2}=25[/tex]

And this would be the best measure of centra tendency for this case

Step-by-step explanation:

For this case we have the following info given:

10, 15, 20, 20, 25, 25, 25, 30, 30, 100

And we want to find the best represent the center of the results and for this case we can see the range given by:

[tex] Range = Max -Min = 100-10=90[/tex]

And if we find the mean we got:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n} =30[/tex]

But since the range is a large value it's better to use the median as a central measure tendency and we got:

[tex] Median = \frac{25+25}{2}=25[/tex]

And this would be the best measure of centra tendency for this case