Which of the following data sets shows numerical data?

\begin{tabular}{|l|l|l|l|l|l|}
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Room Number & 101 & 128 & 205 & 540 & 795 \\
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\end{tabular}

\begin{tabular}{|l|l|l|l|l|l|}
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Employee ID & 2587 & 2994 & 3845 & 5778 & 8994 \\
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\end{tabular}

\begin{tabular}{|l|l|l|l|l|l|}
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House Number & 12 & 302 & 4997 & 5848 & 10154 \\
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\end{tabular}

\begin{tabular}{|l|l|l|l|l|l|}
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Age & 5 & 11 & 14 & 16 & 22 \\
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\end{tabular}



Answer :

To determine which of the given data sets shows numerical data, we need to evaluate each set:

1. Room Numbers:
- The list of room numbers is: 101, 128, 205, 540, 795.
- Room numbers are numerical data as they represent quantities that can be measured or counted.

2. Employee IDs:
- The list of employee IDs is: 2587, 2994, 3845, 5778, 8994.
- Employee IDs, although consisting of numbers, act as identifiers. Hence, they are not strictly numerical in terms of measuring or counting quantities but are categorical in nature.

3. House Numbers:
- The list of house numbers is: 12, 302, 4997, 5848, 10154.
- House numbers also serve as identifiers and are used to distinguish between locations. As such, they are categorical data, despite being represented by numbers.

4. Ages:
- The list of ages is: 5, 11, 14, 16, 22.
- Ages are numerical data as they indicate the number of years since birth, a measure of time.

In summary, the following data sets show numerical data:

- Room Numbers: [101, 128, 205, 540, 795]
- Ages: [5, 11, 14, 16, 22]

Thus, the data sets that consist of numerical data are "Room Numbers" and "Ages".