The table shows information about the number of computers in the offices in an institution.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
\begin{tabular}{l}
Number of computers
\end{tabular} & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
\begin{tabular}{l}
per office \\
Number of offices
\end{tabular} & 18 & 10 & 2 & 15 & 8 & 2 \\
\hline
\end{tabular}

What is the modal number of computers per office?

Answer (a)(i):



Answer :

To determine the modal number of computers per office, we need to identify the number of computers that appears with the highest frequency in the distribution. Here's how we can calculate this step-by-step:

1. Organize the Data:

The provided data can be represented as:
- Number of Computers per Office: [1, 2, 3, 4, 5, 6]
- Number of Offices: [18, 10, 2, 15, 8, 2]

2. Locate the Maximum Frequency:

Look for the highest value in the list of the number of offices. In this case, the highest frequency is 18.

3. Identify the Corresponding Number of Computers:

Determine which number of computers corresponds to this highest frequency. The number 18 corresponds to the number of computers per office.

From the data:
- When the number of computers per office is 1, the number of offices is 18.

4. Conclusion:

The modal number of computers per office is the one that appears most frequently, which in this case is 1.

Therefore, the modal number of computers per office is 1.