Which scatterplot correctly represents the table of values below?

\begin{tabular}{|c|c|}
\hline Number of years collecting stamps & Number of stamps in collection \\
\hline 2 & 100 \\
\hline 5 & 175 \\
\hline 4 & 150 \\
\hline 3 & 125 \\
\hline 4 & 175 \\
\hline 3 & 100 \\
\hline
\end{tabular}

Years Collecting Stamps vs. Stamps in Collection



Answer :

To create a scatterplot that correctly represents the table of values, we need to plot the given points on a graph with "Number of years collecting stamps" on the x-axis and "Number of stamps in collection" on the y-axis.

Here is the table of values that we need to plot:

| Number of years collecting stamps | Number of stamps in collection |
| --------------------------------- | ------------------------------ |
| 2 | 100 |
| 5 | 175 |
| 4 | 150 |
| 3 | 125 |
| 4 | 175 |
| 3 | 100 |

We plot these points one by one:

1. For 2 years of collecting stamps, the number of stamps is 100. So, plot the point (2, 100).
2. For 5 years of collecting stamps, the number of stamps is 175. So, plot the point (5, 175).
3. For 4 years of collecting stamps, the number of stamps is 150. So, plot the point (4, 150).
4. For 3 years of collecting stamps, the number of stamps is 125. So, plot the point (3, 125).
5. For 4 years of collecting stamps, the number of stamps is 175. So, plot the point (4, 175).
6. For 3 years of collecting stamps, the number of stamps is 100. So, plot the point (3, 100).

Now, let’s plot these points on a Cartesian coordinate plane.

- On the x-axis, label the years collecting stamps (let’s say from 1 to 6 for clarity).
- On the y-axis, label the number of stamps in the collection (ranging from 0 to 200, with appropriate intervals, e.g., 0, 50, 100, 150, 200).

After plotting the points, you should see the following on your scatterplot:

- A point at (2, 100)
- A point at (5, 175)
- A point at (4, 150)
- A point at (3, 125)
- A point at (4, 175)
- A point at (3, 100)

Make sure your scatterplot accurately reflects these points, and you'll have a correct visual representation of the data provided in the table.