1. Luca grows tomato plants on his farm. He examined each tomato plant from a recent batch and counted the number of tomatoes on each vine. The results from the batch are provided in the table shown below.
99 1111 88 1010 99 1010
77 88 99 1111 77 99
88 99 1010 8 77 6
Which dot plot could be used to represent the number of tomatoes on each vine from Luca's farm?
As an AI language model, I don't have the ability to display visual aids such as dot plots. Can you please provide a description of the dot plots as options?
To determine which dot plot could be used to represent the number of tomatoes on each vine from Luca's farm, we need to create dot plots for each set of data provided.
Let's create a dot plot for each set of data:
For the first set of data:
99 1111 88 1010 99 1010
In the dot plot, we represent each number with a dot. The number on the x-axis represents the number of tomatoes, and the y-axis represents the frequency. For example, if there are three occurrences of the number 99, we would have three dots stacked vertically.
Here is an example of a dot plot for the first set of data:
6
7
8
9 • • • • • •
10 • • • • • •
11 • • • • •
For the second set of data:
77 88 99 1111 77 99
Here is an example of a dot plot for the second set of data:
7 • •
8 • •
9 • • •
10
11 •
For the third set of data:
88 99 1010 8 77 6
Here is an example of a dot plot for the third set of data:
6 •
7
8 •
9 •
10 •
11 •
12 •
Comparing the dot plots for each set of data, we can see that the first dot plot matches the given data:
6
7
8
9 • • • • • •
10 • • • • • •
11 • • • • •
Therefore, the dot plot that could be used to represent the number of tomatoes on each vine from Luca's farm is the first dot plot.
To determine which dot plot could be used to represent the number of tomatoes on each vine from Luca's farm, let's first understand what a dot plot is.
A dot plot is a graphical representation of data using dots. Each dot represents a data point and is placed above the corresponding value on a number line or axis.
In this case, we have the following data for the number of tomatoes on each vine from Luca's farm:
99 1111 88 1010 99 1010
77 88 99 1111 77 99
88 99 1010 8 77 6
To create a dot plot, we will first count the number of occurrences for each unique value. Then, we will place dots above each value to represent its frequency.
Let's calculate the frequencies for each unique value:
99: 4 occurrences
1111: 2 occurrences
88: 3 occurrences
1010: 3 occurrences
77: 3 occurrences
8: 1 occurrence
6: 1 occurrence
Now that we have the frequencies for each value, we can create a dot plot. Here are a few possible representations:
Option 1:
99: ● ● ● ●
1111: ● ●
88: ● ● ●
1010: ● ● ●
77: ● ● ●
8: ●
6: ●
Option 2:
99: ● ● ● ●
1111: ● ●
88: ● ● ●
1010: ● ● ●
77: ● ● ●
8: ●
6: ●
Option 3:
99: ● ● ● ●
1111: ● ●
88: ● ● ●
1010: ● ● ●
77: ● ● ●
8: ●
6: ●
All three of these dot plots are valid representations of the data. The specific arrangement of the dots may vary, but the frequencies of each value should be accurately shown.
Note: It is important to keep in mind that the dot plot arrangement is subject to interpretation, and different individuals may create different dot plots based on the same data.