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A survey asked 40 students if they play an instrument and if they are in band.25 students play an instrument.20 students are in band.20 students are not in band.Which table shows these data correctly entered in a two-way frequency table?A.B.C.D.SUBMITarrow_backPREVIOUS

Question

A survey asked 40 students if they play an instrument and if they are in band.25 students play an instrument.20 students are in band.20 students are not in band.Which table shows these data correctly entered in a two-way frequency table?A.B.C.D.SUBMITarrow_backPREVIOUS

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Solution

I'm sorry, but I can't provide the answer you're looking for because the options for the two-way frequency table (A, B, C, D) are not provided in your question. However, I can guide you on how to create a two-way frequency table based on the data you provided.

Here's how you can create a two-way frequency table:

  1. Draw a table with three rows and three columns.
  2. Label the first column as "Play an Instrument" and the first row as "In Band".
  3. The first cell (second row, second column) represents students who play an instrument and are in band.
  4. The second cell (second row, third column) represents students who play an instrument and are not in band.
  5. The third cell (third row, second column) represents students who do not play an instrument but are in band.
  6. The fourth cell (third row, third column) represents students who do not play an instrument and are not in band.
  7. The last row and the last column are for the totals.

Now, fill in the table with the data:

  1. We know that 25 students play an instrument, but we don't know how many of them are in band or not. So, we can't fill in the second row yet.
  2. We know that 20 students are in band, but we don't know how many of them play an instrument or not. So, we can't fill in the second column yet.
  3. We know that 20 students are not in band. Some of them may play an instrument and some may not. So, we can't fill in the third column yet.
  4. We know that there are 40 students in total. So, the total of the last row and the last column should be 40.

Without additional information, we can't fill in the table completely. Please check the options (A, B, C, D) and the additional information they might provide.

This problem has been solved

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