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The coach of a college basketball team categorizes the number of points scored by the team in each game, with the categories being [tex]$51-57$[/tex], [tex]$58-64$[/tex], [tex]$65-71$[/tex], and 72 or more. If the following data represent the numbers of points scored in the last 10 games, how many games were in the [tex]$58-64$[/tex] category?

Scores: [tex]$51, 70, 63, 59, 56, 75, 60, 55, 67, 64$[/tex]

A. 1
B. 4
C. 3
D. 2



Answer :

GinnyAnswer
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]

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