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Mathematics 14 Online
OpenStudy (anonymous):

Give an example of a data set where the median is greater than the mean. HAVE NO MORE THAN 8 NUMBERS IN YOUR DATA SET!

Directrix (directrix):

I can help you with some of your posted problems (saw two in the closed section) if you will work with me. Are you game? @cnr

OpenStudy (anonymous):

I am horrible at math but I can try

Directrix (directrix):

That's all I ask.

Directrix (directrix):

Write down 7 numbers of your choosing. Any seven.

OpenStudy (anonymous):

1.5.7.15.21.23.41

Directrix (directrix):

1, 5, 7, 15, 21, 23, 41 The numbers are already in ascending order. That means from smallest to largest. Of the seven numbers, which is the number in the middle of the others? That means that there would be three numbers in the list to the left of it and three to the right of it. Don't worry about posting a wrong answer or anything like that. Give it a whirl.

OpenStudy (anonymous):

15

Directrix (directrix):

Correct. Now, we have to find the mean (average) of the seven numbers. What is the average of the chosen numbers: 1, 5, 7, 15, 21, 23, 41 Add them and divide by 7.

OpenStudy (anonymous):

16.14

Directrix (directrix):

Okay, the median is supposed to be greater than the mean. But, 15 is not bigger than 16.14. We will change one number in the set of seven.

OpenStudy (anonymous):

Mm.Ok.

OpenStudy (anonymous):

I will change 15 to 19 and that will work :)

OpenStudy (anonymous):

thank you, I appreciate you walking me through it

Directrix (directrix):

1, 5, 7, 19, 21, 23, 24 Median is 19. Mean is 14.29 The median is bigger than the mean. Do you agree?

OpenStudy (anonymous):

Yes

Directrix (directrix):

Let me show you something cool. Copy the numbers 1, 5, 7, 19, 21, 23, 24 and go to this website and paste in the numbers. http://easycalculation.com/statistics/mean-median-mode.php

Directrix (directrix):

The online calculator will check your work and help with experimentation with the numbers.

OpenStudy (anonymous):

wow, thanks so much!

Directrix (directrix):

OpenStudy (anonymous):

that helped me with two other questions too!!!

Directrix (directrix):

Are you ready to move to another of the problems you posted?

OpenStudy (anonymous):

sure

Directrix (directrix):

Go to one of them and I will follow you.

OpenStudy (anonymous):

Um, I do not know where to find my closed ones, hold on

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