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

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

Find the modal number of computers per office.
Answer (a)(i): ______



Answer :

GinnyAnswer
Certainly! Let's analyze the given data to find the modal number of computers per office.

Here is the data provided in a table format:
```
| Number of computers per office | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of offices | 18 | 10 | 2 | 15 | 8 | 2 |
```

To find the modal number of computers per office, we need to look for the value in the "Number of computers per office" row that corresponds to the highest value in the "Number of offices" row. The mode is the value that appears most frequently.

1. First, list the number of offices for each category:
- For 1 computer per office: 18 offices
- For 2 computers per office: 10 offices
- For 3 computers per office: 2 offices
- For 4 computers per office: 15 offices
- For 5 computers per office: 8 offices
- For 6 computers per office: 2 offices

2. Identify the maximum number of offices, which is 18.

3. Determine the corresponding number of computers per office for this maximum value. It is for 1 computer per office.

Therefore, the modal number of computers per office is 1. The mode is the most frequent data point, which in this case is 1 computer per office, appearing in 18 offices.

So, the answer is:
(a)(i) The modal number of computers per office is 1.
xujoy000

The modal number is the number that appears most frequently. Looking at the table, we can see that 1 appears 18 times, 2 appears 10 times, 3 appears 2 times, 4 appears 15 times, 5 appears 8 times, and 6 appears 2 times.

the number 1 appears the most frequently with 18 occurrences, so the modal number of computers per office is 1.

Therefore, the answer is: Answer (a)(i): 1

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