The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb

The difference of weight is pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of grapefruits

To find: The difference in the total weight of all the  grapefruits and the total weight of all the grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

Now, we know that,

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 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight and how many  grapefruit we have of weight . In other words, we need to know, in the diagram, how many points there are about class of   and how many points there are about class of   .

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

Where

: Weight difference

: Quantity of  grapefruit

: Quantity of grapefruit

Suppose that of the total grapefruits, of them weigh  and of them weigh  pounds. This is: and

Now,

Hence, for this case, the difference of weight is pounds.

18.75 gallons

step-by-step explanation: