Respuesta :
- Graph C shown in the image attached below is a line plot which correctly shows the data.
- The most common length of ribbon is 11 1/4: True.
- The sum of the longest and shortest lengths is 20 1/8: False.
- The difference between the longest and shortest lengths is 2 1/8: False.
- The greatest amount of juice is equal to 3.
- The least amount of juice is equal to 1 4/6.
- The sum of the least and greatest amount of juice is 4 2/3.
- The difference between the greatest and least amount of juice is 4/3.
- If the children were to share the juice equally, the amount of juice each would get is 2 27/80.
What is a number line?
A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
What is a line plot?
A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data provided in the complete question, we can logically deduce the following points:
- Length of ribbon (11 1/4) = 3.
- Length of ribbon (10 3/4) = 1.
- Length of ribbon (10 1/2) = 1.
- Length of ribbon (10 7/8) = 1.
- Length of ribbon (10 5/8) = 1.
- Length of ribbon (9 7/8) = 1.
In conclusion, graph C shown in the image attached below is a line plot which correctly shows the data from the table above.
The most common length of ribbon is 11 1/4: True.
The sum of the longest and shortest lengths is 20 1/8: False.
Sum = 11 1/4 + 9 7/8
Sum = 21 9/8 ≠ 20 1/8.
The difference between the longest and shortest lengths is 2 1/8: False.
Difference = 11 1/4 - 9 7/8
Difference = 1 3/8 ≠ 2 1/8 .
Part Two.
The greatest amount of juice is equal to 3.
The least amount of juice is equal to 1 4/6.
The sum of the least and greatest amount of juice is:
Sum = 1 4/6 + 3
Sum = 4 4/6 = 4 2/3.
The difference between the greatest and least amount of juice is:
Difference = 3 - 1 4/6
Difference = 8/6 = 4/3.
How much would each child get?
If the children were to share the juice equally, the amount of juice each would get should be calculated by determining the mean:
Mean = [F(x)]/n
Mean = (1 4/6 + 2 + 2 + 2 + 2 2/6 + 2 5/6 + 2 5/6 + 3)/8
Mean = 18.7/8
Mean = 2.3375 = 2 27/80.
Read more on line plot here: https://brainly.com/question/8989301
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Complete Question:
Katie recorded the length, in inches, of the ribbon pieces she was going to use for a project. Use this information for questions 1 and 2.
11 1/4, 11 1/4, 10 3/4, 10 1/2, 10 7/8, 10 5/8, 9 7/8, 11 1/4,
1. Which line plot correctly shows the data?

