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Juniors and seniors were surveyed about whether they plan to attend a school dance:
- 94 out of 130 juniors plan to attend.
- 12 out of 140 seniors do not plan to attend.

The following table shows the results:
\begin{tabular}{|c|c|c|c|}
\hline & \multicolumn{2}{|c|}{ Attending } & \multirow[b]{2}{*}{ Total } \\
\hline & Yes & No & \\
\hline Juniors & 94 & 36 & 130 \\
\hline Seniors & 128 & 12 & 140 \\
\hline Total & 222 & 48 & 270 \\
\hline
\end{tabular}

What mistake was made in the table?



Answer :

GinnyAnswer
Let's carefully verify each part of the table using the provided data:

1. Juniors' Attendance:
- Yes: 94
- No: Calculate the remaining juniors: [tex]\(130 - 94 = 36\)[/tex]
- Total Juniors: 94 yes + 36 no = 130

2. Seniors' Attendance:
- No: 128
- Yes: Calculate the remaining seniors: [tex]\(140 - 128 = 12\)[/tex]
- Total Seniors: 12 yes + 128 no = 140

We have:
[tex]\[ \begin{array}{|c|c|c|c|} \hline & \multicolumn{2}{|c|}{Attending} & \multirow[b]{2}{*}{Total} \\ \hline & Yes & No & \\ \hline Juniors & 94 & 36 & 130 \\ \hline Seniors & 12 & 128 & 140 \\ \hline Total & 106 & 164 & 270 \\ \hline \end{array} \][/tex]

Next, let's verify the totals:

- Total Yes:
- Juniors (Yes): 94
- Seniors (Yes): 12
- Total Yes: 94 + 12 = 106

- Total No:
- Juniors (No): 36
- Seniors (No): 128
- Total No: 36 + 128 = 164

- Overall Total:
- Yes: 106
- No: 164
- Overall Total: 106 + 164 = 270

Now we can compare the calculations with the table values to check for any discrepancies:

1. Juniors' Total:
- 94 yes + 36 no = 130 (Correct)

2. Seniors' Total:
- 12 yes + 128 no = 140 (Correct)

3. Yes Total:
- 94 (Juniors) + 12 (Seniors) = 106 (Correct)

4. No Total:
- 36 (Juniors) + 128 (Seniors) = 164 (Correct)

5. Overall Total:
- 106 yes + 164 no = 270 (Correct)

No mistakes are found in the table. Therefore, the answer is that there are no mistakes in the table provided.

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