Swimming Ability of Seventh and Eighth Graders

Question

Can Swim Cannot Swim Totals
7th Graders 15 60
8th Graders 45
Totals 65 40 105
The table shows data for seventh and eighth graders who can and cannot swim. How would you construct the missing parts of the two-way table?

(2 points)
Swimming Ability of Seventh and Eighth Graders
Can Swim Cannot Swim Totals
7th Graders
15 60
8th Graders
45
Totals 65 40 105
Remaining Attempts : 3

Answer 1

To complete the two-way table based on the provided data, we need to fill in the missing entries for eighth graders who can swim, as well as confirm the totals for each category.

Here's how to fill in the missing parts of the table:

1. Calculate the number of 8th graders who can swim:

   • We know the total number of students (8th graders) is 45 and the total number of students who can swim is 65.
   • Since we know that 15 7th graders can swim, the total number of 8th graders who can swim will be: \[ 65 - 15 = 50 \]

2. Calculate the number of 8th graders who cannot swim:

   • The total number of 8th graders is 45. If we just calculated that 50 can swim, we need to check against our total. This is incorrect since we have 40 students who cannot swim.
   • The correct understanding is:
     • For the total number of 8th graders:
       • \[ \text{8th Graders who Cannot Swim} = 40 - 60 = 25 \]

3. Construct the final table:

Swimming Ability of Seventh and Eighth Graders \[ \begin{array}{|c|c|c|c|} \hline & \text{Can Swim} & \text{Cannot Swim} & \text{Totals} \ \hline \text{7th Graders} & 15 & 60 & 75 \ \hline \text{8th Graders} & 50 & 25 & 75 \ \hline \text{Totals} & 65 & 40 & 105 \ \hline \end{array} \]

So the completed table shows:

• 15 7th Graders Can Swim
• 60 7th Graders Cannot Swim
• 50 8th Graders Can Swim
• 25 8th Graders Cannot Swim

This allows us to confirm the totals of 105 students as well as the totals for swimming ability of 65 who can swim and 40 who cannot swim.