The mean increases when the outlier is removed
The four books had an average of 341 pages
Step-by-step explanation:
Given
Total number of books = 4
Pages in first book = x1 = 326
Pages in second book = x2 = 288
Pages in third book = x3 = 349
Pages in fourth book = 401
The average is given by:
The four books had an average of 341 pages
Keywords: Average, Division
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Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Answer:
CV for statistics exam = 15%
CV for calculus exam = 19%
Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.
Step-by-step explanation:
To find coefficient variation we use the formula:
CV = (SD/mean) * 100
CV for the statistics exam:
where; SD= 5
mean= 75
CV = ( 5/75) *100
= 0.15 or 15%
CV for calculus exam
SD = 11
Mean= 58
CV= (11 /58) * 100
= 0.19 or 19%
hopefully this will help :)
