The expression of the ratio is 150:3
Rule: (a/b)/(c/d)=(a/b)*(d/c)
(5/14)/(3/4)
(5/14)(4/3)
(5*4)/(14*3)
20/42
10/21
Answer is C.
Explanation:
So we have 100 data, aka numbers. So the mean would be
![\dfrac{x_1 + x_2 + x_3 + \cdots + x_{100}}{100} = 267](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_1%20%2B%20x_2%20%2B%20x_3%20%2B%20%5Ccdots%20%2B%20x_%7B100%7D%7D%7B100%7D%20%3D%20267)
where bunch of x represents those data.
So then
![x_1 + x_2 + \cdots + x_{100} = 267\cdot100](https://tex.z-dn.net/?f=x_1%20%2B%20x_2%20%2B%20%5Ccdots%20%2B%20x_%7B100%7D%20%3D%20267%5Ccdot100)
, right?
So we have six outliers with mean 688. That would be
![\dfrac{x_{i_1} + x_{i_2} + \cdots + x_{i_6}}6 = 688](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_%7Bi_1%7D%20%2B%20x_%7Bi_2%7D%20%2B%20%5Ccdots%20%2B%20x_%7Bi_6%7D%7D6%20%3D%20688)
So then
![x_{i_1} + x_{i_2} + \cdots + x_{i_6} = 688\cdot6](https://tex.z-dn.net/?f=x_%7Bi_1%7D%20%2B%20x_%7Bi_2%7D%20%2B%20%5Ccdots%20%2B%20x_%7Bi_6%7D%20%3D%20688%5Ccdot6)
Now we don't know what i₁, i₂, etc, but we can just subtract outliers from set of observations and we will know that outliers will be gone in set of observation.
So that would be
![(x_1 + \cdots + x_{100})- (x_{i_1} + \cdots + x_{i_6}) = 267\cdot100 - 688\cdot6](https://tex.z-dn.net/?f=%28x_1%20%2B%20%5Ccdots%20%2B%20x_%7B100%7D%29-%20%28x_%7Bi_1%7D%20%2B%20%5Ccdots%20%2B%20x_%7Bi_6%7D%29%20%3D%20267%5Ccdot100%20-%20688%5Ccdot6)
Now we know that there are now 94 remaining observations. So to find mean, we just divide whole thing by 94.
![\dfrac{(x_1 + \cdots + x_{100})- (x_{i_1} + \cdots + x_{i_6})}{94} = \dfrac{267\cdot100 - 688\cdot6}{94} = \boxed{240.12766}](https://tex.z-dn.net/?f=%5Cdfrac%7B%28x_1%20%2B%20%5Ccdots%20%2B%20x_%7B100%7D%29-%20%28x_%7Bi_1%7D%20%2B%20%5Ccdots%20%2B%20x_%7Bi_6%7D%29%7D%7B94%7D%20%3D%20%5Cdfrac%7B267%5Ccdot100%20-%20688%5Ccdot6%7D%7B94%7D%20%3D%20%5Cboxed%7B240.12766%7D)
Which matches C.
Hope this helps.
Answer:
The best option is C
Step-by-step explanation:
I believe this because it is the cheapest amount of money PER PENCIL. For a it is $0.37 per pencil, for b it is $0.35 per pencil, for c it is $0.33 per pencil, and for d it is $0.40 per pencil. I did these calculations by taking the amount of money and dividing by the amount of pencils. So, for what the question asks, the answer would be C because it wants the one with the least amount of money PER PENCIL.