second part @jim_thompson5910

- anonymous

second part @jim_thompson5910

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- anonymous

##### 1 Attachment

- jim_thompson5910

for the first column, under the \(\large x_i - \bar{x}\), you will subtract the mean from each score (score minus mean)

- anonymous

so it will be 90-90,90-90,90-80,90-100,etc @jim_thompson5910

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## More answers

- jim_thompson5910

yes and the results will all go in that column

- anonymous

are u sure its not the mean -score @jim_thompson5910

- anonymous

hello

- jim_thompson5910

it's score - mean

- jim_thompson5910

that's what the xi - xbar means
xi is the score

- jim_thompson5910

|dw:1433566821653:dw|

- jim_thompson5910

|dw:1433566832765:dw|

- anonymous

so some will be negative @jim_thompson5910

- jim_thompson5910

|dw:1433566847436:dw|

- jim_thompson5910

yes it's normal to have negative differences

- anonymous

so how I find the total? @jim_thompson5910

- jim_thompson5910

you add up all of the numbers in the column to get the total

- jim_thompson5910

you'll have 3 totals (one per column)

- anonymous

the numbers I got were 0 0 -10 10 9 -9 8 and -8 and the total was 0 @jim_thompson5910 if this is correct I am ready to find the M.A.D

- jim_thompson5910

now take the absolute value of each result
that will form the next column over

- jim_thompson5910

|0| = 0
|0| = 0
|-10| = 10
etc etc

- anonymous

so will |10| be -10 or just stay 10 @jim_thompson5910

- jim_thompson5910

anything positive will stay the same

- jim_thompson5910

absolute value measures distance that number is from 0

- jim_thompson5910

distance is never negative

- anonymous

add em all up for the total again @jim_thompson5910

- jim_thompson5910

yes

- anonymous

how to find the variance @jim_thompson5910

- jim_thompson5910

square everything in column 1 to get column 3

- jim_thompson5910

0^2 = 0
0^2 = 0
(-10)^2 = 100
10^2 = 100
etc etc

- jim_thompson5910

to get the MAD value, you add up everything in column 2
then divide by n = 8
to get the variance, you add up everything in column 3
then divide by n = 8
the standard deviation is equal to the square root of the variance

- anonymous

did u get 490 for the total of the variance @jim_thompson5910

- jim_thompson5910

divide 490 by 8 to get the variance

- jim_thompson5910

##### 1 Attachment

- anonymous

what do these measures of spread tell you about Bryce grades? @jim_thompson5910

- jim_thompson5910

I'm not sure what kind of answer they want here

- jim_thompson5910

But the general rule is that the larger the standard deviation, the more spread out the scores are

- anonymous

so who do you think should still win after all the work we have done... I still say Bryce @jim_thompson5910

- jim_thompson5910

I'm not sure of that either. The two students both have good grades, but I guess Bryce has a higher max and Q3

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