6. The table shows statistics for a basketball player. Use rates to compare the player's performance between the two seasons.

\begin{tabular}{|l|c|c|c|c|}
\hline
Season & \begin{tabular}{c}
Total 2-point \\
attempts
\end{tabular} & \begin{tabular}{c}
2-point \\
attempts made
\end{tabular} & \begin{tabular}{c}
Total 3-point \\
attempts
\end{tabular} & \begin{tabular}{c}
3-point \\
attempts made
\end{tabular} \\
\hline
1st & 292 & 131 & 139 & 51 \\
\hline
2nd & 185 & 72 & 205 & 61 \\
\hline
\end{tabular}



Answer :

Certainly! Let's analyze the player's performance over the two seasons by calculating and comparing the rates of successful 2-point and 3-point attempts.

### 1. Calculate the Success Rate for 2-Point Attempts in Each Season

For the 1st Season:
- Total 2-point attempts: 292
- 2-point attempts made: 131

To find the success rate, we use the formula:
[tex]\[ \text{Success Rate} = \frac{\text{Attempts Made}}{\text{Total Attempts}} \][/tex]

So,
[tex]\[ \text{2-point Success Rate}_{1\text{st}} = \frac{131}{292} \approx 0.4486 \][/tex]

For the 2nd Season:
- Total 2-point attempts: 185
- 2-point attempts made: 72

Similarly,
[tex]\[ \text{2-point Success Rate}_{2\text{nd}} = \frac{72}{185} \approx 0.3892 \][/tex]

### 2. Calculate the Success Rate for 3-Point Attempts in Each Season

For the 1st Season:
- Total 3-point attempts: 139
- 3-point attempts made: 51

Using the same formula,
[tex]\[ \text{3-point Success Rate}_{1\text{st}} = \frac{51}{139} \approx 0.3669 \][/tex]

For the 2nd Season:
- Total 3-point attempts: 205
- 3-point attempts made: 61

So,
[tex]\[ \text{3-point Success Rate}_{2\text{nd}} = \frac{61}{205} \approx 0.2976 \][/tex]

### 3. Comparison of Performance Between the Two Seasons

2-Point Attempts:
- In the 1st season, the success rate was approximately [tex]\(0.4486\)[/tex].
- In the 2nd season, the success rate was approximately [tex]\(0.3892\)[/tex].

By comparing these two rates, we observe that the player had a higher success rate for 2-point attempts in the 1st season compared to the 2nd season.

3-Point Attempts:
- In the 1st season, the success rate was approximately [tex]\(0.3669\)[/tex].
- In the 2nd season, the success rate was approximately [tex]\(0.2976\)[/tex].

Similarly, the player had a higher success rate for 3-point attempts in the 1st season compared to the 2nd season.

### Conclusion

From the rates calculated, we can conclude that the player's performance was better in the 1st season for both 2-point and 3-point attempts. The success rates indicate that the player was more accurate in making both 2-point and 3-point shots during the 1st season compared to the 2nd season.