There are missing statistics in the chart that shows how many seventh and eighth graders can and cannot swim.

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)
There are missing statistics in the chart that shows how many seventh and eighth graders can and cannot swim.
Can Swim Cannot Swim Totals
7th Graders
15 60
8th Graders
45
Totals 65 40 105

1 answer

To complete the two-way table and find the missing statistics, we can analyze the given information step by step.

Step 1: Fill in the "7th Graders" row

We have the totals for "Can Swim" and "Cannot Swim" in the table.

  1. 7th Graders Can Swim: The total number of students who can swim is given as 65 (from the Totals column). We know that 15 of those are 7th graders, so:

    • 7th Graders Can Swim = 15
  2. 7th Graders Cannot Swim: The total number of students in 7th grade who cannot swim is given as 60. So:

    • 7th Graders Cannot Swim = 60

Step 2: Fill in the "8th Graders" row

We similarly analyze the information for the 8th graders.

  1. 8th Graders Can Swim: The total number who can swim is 65. We already have the 7th graders who can swim (15), so we can find the number of 8th graders who can swim by subtracting:

    • 8th Graders Can Swim = 65 - 15 = 50
  2. 8th Graders Cannot Swim: The total number of students who cannot swim is given as 40. We already have the 7th graders who cannot swim (60), so we can find the number of 8th graders who cannot swim by subtracting:

    • 8th Graders Cannot Swim = 40 - 60 = 0

Final Table:

Now we can summarize the completed two-way table:

| | Can Swim | Cannot Swim | Totals | |------------------|----------|-------------|--------| | 7th Graders | 15 | 60 | 75 | | 8th Graders | 50 | 0 | 50 | | Totals | 65 | 40 | 105 |

Conclusion:

The completed two-way table shows that:

  • 7th Graders: 15 can swim, 60 cannot swim, total 75.
  • 8th Graders: 50 can swim, 0 cannot swim, total 50.