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consider the list of the grades 15, 25, 52, 14, 35, 42, 25 then the quadruple ( mean, median, standard deviation, interquartile range is

1- ( 27, 25, 14, 29.5)
2- (29.7, 25, 13, 27)
3- (27, 25, 13, 29.5)
4- (29.7, 25, 14, 27)

2007-12-31 10:26:18 · 4 answers · asked by fox 1 in Science & Mathematics Mathematics

4 answers

I would order the numbers first:
14, 15, 25, 25, 35, 42, 52

Mean = Sum of data points/Total # of data points
= (14 + 15 + 25 + 25 + 35 + 42 + 52)/7
= 29.7

Median = the middle number after ordering = 25

Standard Deviation = how much deviation there is from the mean = 14 (you can calculate this on excel)

So, without doing anymore calculations, we can see that the answer must be 2.

2007-12-31 10:40:08 · answer #1 · answered by alsh 3 · 0 1

Add all numbrs and divide by 7 to get mean = 29.7

14, 15, 25, 25, 35, 42, 52
25 is the median because it has as many scores below it as above it

Median of upper half is 42; median of lower half is 15
IQR = 42-15 = 27

Standard deviation is sigma = sqrt[ (30-14)^2 + (30 -15)^2
+(30-25)^2+ ....+(30-52)^2]/7
((30-52)^2

2007-12-31 18:44:06 · answer #2 · answered by ironduke8159 7 · 0 1

Mean: Add each of the value and divide by 4
Mean is 23.88
Values in increasing order
14
25
27
29.5

Minimum 14 maximum 29.5

Median : Average of observations 2 and 3 is -- 26
1st Quartile : Average of observations 1 and 2 is -- 19.5
3rd Quartile : Average of observations 3 and 4 is -- 28.25
Inter-Quartile Range is 8.75
Variance is 46.73
Standard deviation is 6.84
(Subtract the mean from each observation, square it, sum it and divide by 3)

2007-12-31 18:41:43 · answer #3 · answered by cidyah 7 · 0 1

im not gonna do your homework for you!
go to http://www.purplemath.com/

it helps A LOT!

2007-12-31 18:40:25 · answer #4 · answered by vlamaster 2 · 0 1

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