Select the correct answer.

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 } \\
\cline{2-3}
& Yes & No & \\
\hline
Juniors & 94 & 36 & 130 \\
\hline
Seniors & 12 & 128 & 140 \\
\hline
Total & 106 & 164 & 270 \\
\hline
\end{tabular}

What mistake was made in the table?

A. The responses for the juniors are reversed.
B. The total for the number of seniors is incorrect.
C. The responses for the seniors are reversed.
D. The number of juniors not attending is incorrect.



Answer :

To determine the correct answer, let's carefully analyze the information step-by-step and compare it with the given table.

1. Survey Data:
- 94 out of 130 juniors plan to attend.
- 12 out of 140 seniors do not plan to attend (meaning 128 seniors plan to attend if we consider the total seniors).

2. Calculation Based on Survey Data:
- Juniors:
- Attending: 94
- Not attending: 130 - 94 = 36
- Total juniors: 130
- Seniors:
- Attending: 140 - 12 = 128
- Not attending: 12
- Total seniors: 140
- Combined totals:
- Total attending: 94 (juniors) + 128 (seniors) = 222
- Total not attending: 36 (juniors) + 12 (seniors) = 48
- Total students: 130 (juniors) + 140 (seniors) = 270

3. Given Table Totals:
- Attending:
- Juniors: 94
- Seniors: 12
- Total attending: 106
- Not attending:
- Juniors: 36
- Seniors: 128
- Total not attending: 164
- Total students: 270

4. Identify Discrepancies:
- The given table says seniors attending: 12, but based on the statement above, this should be seniors not attending.
- The total not attending in the table (164) is higher than the calculated total not attending (48).
- The total attending in the table (106) is less than the calculated total attending (222).

Based on this detailed analysis, it is clear that there is a reversal in the responses for the seniors. The given number of seniors attending (12) should actually be the number of seniors not attending, and vice versa.

Therefore, the mistake in the table is:

C. The responses for the seniors are reversed.