Question

Suppose the yearly salaries in a small law firm are as follows:
$45,000 $50,000 $50,000
$50,000 $65,000 $280,000
A. What is the mean and median of these six salaries?
B. Adjust some of the six original salaries so that the mean increases, while the median decreases.
C. Adjust some of the six original salaries so that the mean decreases, while the median increases.

Answer 1

I know how to do part A, but I'm not sure how to answer Parts B and C

Answer 2

u there?

Answer 3

Yes, hello!

Answer 4

@Anaise

Answer 5

good, so what does the equation mean when it says "Adjust" ?

Answer 6

I'm not sure

Answer 7

besides that, what is the mean?

Answer 8

The mean is $90,000

Answer 9

mode?

Answer 10

$50,000

Answer 11

median

Answer 12

$50,000

Answer 13

@LichKing sorry i can barely keep my eyes open

Answer 14

It's fine, though that's not my name ^^ Maybe you should go rest

Answer 15

i want you to get an answer, and that will happen

Answer 16

Okay thanks :)

Answer 17

@ShadowLegendX if he doesn't come i'll post the whole world .-.

Answer 18

What

Answer 19

Hello ^^

Answer 20

help this guy

Answer 21

Why

Answer 22

I havenʻt touched this stuff in years ._.

Answer 23

I'd appreciate it

Answer 24

I wanna go to bed and my eyes are quite bloodshot

Answer 25

Will you actually?

Answer 26

Yeah

Answer 27

A is finished, right?

Answer 28

Yes

Answer 29

So what is mean?

Answer 30

Do you want me to tell you what the value is, or what mean means?

Answer 31

wait

Answer 32

my computer sorry,

Answer 33

the mean would be 90000

Answer 34

Yes, what mean means

Answer 35

your average

Answer 36

Mean is the sum of the observations divided by the total number of observations

Answer 37

Good, now what is the median?

Answer 38

The middle number in a list, sorted either from greatest to least or least to greatest

Answer 39

50000 ^

Answer 40

I would increase $280,000 by $120,000 making it $400,000 total in that salary. Then decrease all $50,000 salaries to $45,000. Making the median $45,000 now. Lowering it.

With the large increase in that one salary, now when you divide by 6, you will get a larger number than 90,000 ;P

Answer 41

Thus the mean will have increased

Answer 42

get it?

Answer 43

Ooh okay, so that's what they meant

Answer 44

This will be when you divide the sum of all 6 salaries by 6, the number will be larger.

With that huge increase in that one salary, the over all sum of the salaries will be larger. So instead of the 6 equal parts of them being 90,000, they will be larger parts.

Answer 45

I think it was like 107k, Iʻm doing all of this on the google search bar (acts as a calculator) ;P

Answer 46

With the values I gave you, you can figure out the exact numbers if you need them for your assignment.

Answer 47

Okay thanks a lot! :) I think I understand what they want now, though I wish they would have went over adjustments beforehand

Answer 48

For C, you just have to do the opposite. If you want the mean to decrease, you need a smaller overall sum. So decrease some big numbers, (Iʻd suggest 280k, itʻs the easiest) and then since they want the median to rise, Iʻd do whatʻs easiest and just raise the 50k salaries to 55k. A small change, and it wonʻt affect the mean. Maybe decrease 280k to like 100k

Answer 49

Okay thanks, you've been a lot of help!

Answer 50

No problem ;P

Answer 51

I just realized we all have kitten icons

Answer 52

:D

Answer 53

I have another quick question, are you okay with Standard Deviation and Variances?

Answer 54

Uhh, post the question, let me see if I can remember it

Answer 55

link me