Question

Create a set of seven data values in which the mean is higher than the medium

Answer 1

Any relatively large value will increase the mean significantly. So pick a bunch of small numbers and one large number.

Answer 2

how do I do that?

Answer 3

remember, if you have 6 small terms, like 1,2,3,4,5 and 6, then your mean is going to 3.5

Answer 4

but if you add a large number, then the mean will go high up. However, the medium value will stay low

Answer 5

so based from this, try to make that number set :) @pphalke

Answer 6

how do I make the mean higher than the medium

Answer 7

use smaller values for the first 6 terms, and then a large value to skew the mean and make it get higher.

Remember, by doing this, it guarantees that the median stays low

Answer 8

7

Answer 9

not quite, if you find the mean, watch what happens

Answer 10

the biggest hint I'm giving you here is that the last number should be bigger

Answer 11

maybe 8 9

Answer 12

yes, those would work :)

Answer 13

You could pick a bunch of small numbers, eg 1, 2, 3, 4, 5, 6, and the last number be 1000. The mean will be far higher than the median.

Answer 14

if you calculate the means with a calculator, you would get a mean of \(\approx\)4.14 or \(\approx\)4.29

Answer 15

@agent0smith that's what I was trying to explain after you left :P

but the problem doesn't say it needs to be much bigger

Answer 16

"So pick a bunch of small numbers and one large number." as in any small numbers you like, and one huge number will guarantee a large mean.

Answer 17

But i mean to him saying "how do i do that" in response to "So pick a bunch of small numbers and one large number.".

Answer 18

yep :P

Answer 19

@pphalke does this make sense?

Answer 20

yes