- Howard-Wolowitz

Measuring question / median and mean

- schrodinger

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- welshfella

sorry - i cant see the first part of the questions

- Howard-Wolowitz

##### 1 Attachment

- Howard-Wolowitz

Hows that?

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## More answers

- welshfella

dont know the first few numbers are cut off

- welshfella

hold on - i got it now

- Howard-Wolowitz

k

- welshfella

for the first one Add up all the numbers and divide by 7 to get the mean
for the median arrange them in ascending order. The median will be the middle value
( in this case the 4th value)

- welshfella

what do you get ?

- welshfella

3+4+6+7+9+9+11 = ?

- Howard-Wolowitz

so 7?

- Howard-Wolowitz

for the mean

- Howard-Wolowitz

then I dont know what you mean by saying 4th for median

- welshfella

yes 0 i mean the 4th number in the list
3 4 6 7 9 9 11

- Howard-Wolowitz

oh so it would be mean= 7
and median = 7

- welshfella

the middle number = 7
that is the median

- welshfella

yep

- welshfella

so here the mean and the median are equal

- Howard-Wolowitz

cool, power OS the welsh minds

- Howard-Wolowitz

now the second question is gonna be over our heads

- welshfella

yea
well we need to keep the median and the mean equal to 7
This will give us a total of 8 numbers and the only way to make the mean and median equal is to add another 7

- welshfella

|dw:1441724312842:dw|

- Howard-Wolowitz

Alright so you think you'd add another 7, gotcha

- welshfella

if there is an total of numbers the median is the mean of the 'middle two'.

- welshfella

* an even total' i meant to say

- welshfella

if you add up the 8 numbers it gives 56 so mean = 56/8 = 7

- Howard-Wolowitz

ohhh ok i see

- Howard-Wolowitz

that makes sense ^

- welshfella

for the third one If we add an extra number at the end it makes the median 8 - because the middle 2 values will now be 7 and 9
- do you see that?

- Howard-Wolowitz

no i dont

- Howard-Wolowitz

so you saying add a 8

- Howard-Wolowitz

and that would even it out

- welshfella

|dw:1441724689040:dw|

- Howard-Wolowitz

ok, that makes it senseible

- welshfella

So the number I've marked X must be high enough to make the mean greater than 8
what number to you think we can make X/

- welshfella

we'll have b numbers and total / 8 must be greater than 8

- welshfella

* 8 numbers

- Howard-Wolowitz

so it could be any number greater then 8 but not 9

- welshfella

no - the total will b 49 + X right ?

- Howard-Wolowitz

no I thought 49 + 7

- Howard-Wolowitz

nvm I was thinking division

- welshfella

no X is an other number

- welshfella

what we must do is solve the inequlaity
X + 49
------ > 8
8
x + 49 > 64

- Howard-Wolowitz

so x>15

- welshfella

(x + 49)/ 8 is the new mean and this has to be > 8

- welshfella

right
so a valid number would be 16

- Howard-Wolowitz

hmmm, interesting cause I would of never of gotten by-myself... power of the welsh minds

- Howard-Wolowitz

16 by myself*

- welshfella

lol yw

- welshfella

yes 16 is the number to be added

- Howard-Wolowitz

awesome

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