Answer: B) 2lb
Step-by-step explanation:
First, you must convert from mixed numbers to fractions, as following
![1^{\frac{1}{2}}](https://tex.z-dn.net/?f=1%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![lb=\frac{(1*2)+1}{2}=\frac{3}{2}lb](https://tex.z-dn.net/?f=lb%3D%5Cfrac%7B%281%2A2%29%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7Dlb)
![1^{\frac{1}{4}}](https://tex.z-dn.net/?f=1%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
![lb=\frac{(1*4)+1}{4}=\frac{5}{4}lb](https://tex.z-dn.net/?f=lb%3D%5Cfrac%7B%281%2A4%29%2B1%7D%7B4%7D%3D%5Cfrac%7B5%7D%7B4%7Dlb)
Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.
In this case, the different weights of the grapefruit constitute the classes. From a sample of 9 grapefruit, some will weigh
others weigh
, etc.
We need to observe the dot diagram to know how many
grapefruit we have and how many
grapefruit we have. In other words, we need to know, in the diagram, how many points there are about class
and how many points there are about class
Then, the total difference between all grapefruit of
pounds and all grapefruit of
pounds is calculated as follows:
n (
) - m (
) = W
Where
W: Weight difference
n: Quantity of
grapefruit
m: Quantity of grapefruit of
Suppose that of the 9 total grapefruits, 3 of them weigh
pounds and 2 of them weigh
pounds. This is: n = 3 and m = 2
![3(\frac{3}{2}) - 2(\frac{5}{4}) = 2](https://tex.z-dn.net/?f=3%28%5Cfrac%7B3%7D%7B2%7D%29%20-%202%28%5Cfrac%7B5%7D%7B4%7D%29%20%3D%202)
The difference in weight would be 2 pounds.