second part @jim_thompson5910

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1 Attachment
for the first column, under the \(\large x_i - \bar{x}\), you will subtract the mean from each score (score minus mean)
so it will be 90-90,90-90,90-80,90-100,etc @jim_thompson5910

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yes and the results will all go in that column
are u sure its not the mean -score @jim_thompson5910
hello
it's score - mean
that's what the xi - xbar means xi is the score
|dw:1433566821653:dw|
|dw:1433566832765:dw|
so some will be negative @jim_thompson5910
|dw:1433566847436:dw|
yes it's normal to have negative differences
so how I find the total? @jim_thompson5910
you add up all of the numbers in the column to get the total
you'll have 3 totals (one per column)
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
now take the absolute value of each result that will form the next column over
|0| = 0 |0| = 0 |-10| = 10 etc etc
so will |10| be -10 or just stay 10 @jim_thompson5910
anything positive will stay the same
absolute value measures distance that number is from 0
distance is never negative
add em all up for the total again @jim_thompson5910
yes
how to find the variance @jim_thompson5910
square everything in column 1 to get column 3
0^2 = 0 0^2 = 0 (-10)^2 = 100 10^2 = 100 etc etc
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
did u get 490 for the total of the variance @jim_thompson5910
divide 490 by 8 to get the variance
what do these measures of spread tell you about Bryce grades? @jim_thompson5910
I'm not sure what kind of answer they want here
But the general rule is that the larger the standard deviation, the more spread out the scores are
so who do you think should still win after all the work we have done... I still say Bryce @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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