Let's analyze this step-by-step to find out how many games fall into the [tex]$58-64$[/tex] category.
1. First, list the points scored in the last 10 games:
[tex]\[
51, 70, 63, 59, 56, 75, 60, 55, 67, 64
\][/tex]
2. Identify which of these scores fall into the [tex]$58-64$[/tex] category:
- 51: This is outside the range.
- 70: This is outside the range.
- 63: This falls within the range.
- 59: This falls within the range.
- 56: This is outside the range.
- 75: This is outside the range.
- 60: This falls within the range.
- 55: This is outside the range.
- 67: This is outside the range.
- 64: This falls within the range.
3. Count the number of scores that fall within the [tex]$58-64$[/tex] range:
- 63: 1 game
- 59: 1 game
- 60: 1 game
- 64: 1 game
So, there are 4 games where the points scored were in the [tex]$58-64$[/tex] category.
Thus, the answer is:
[tex]\[
\boxed{4}
\][/tex]
