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Mr. Li records the lengths of his students' handprints. The lengths, in centimeters, are shown in the table.

\begin{tabular}{|l|l|l|l|l|l|l|}
\hline
14.0 & 11.5 & 12.1 & 16.2 & 13.5 & 14.3 & 16.8 \\
\hline
12.4 & 13.7 & 12.0 & 14.7 & 15.2 & 11.9 & 15.6 \\
\hline
13.8 & 14.2 & 12.5 & 15.0 & 16.0 & 13.1 & 11.7 \\
\hline
\end{tabular}

If the class creates a histogram of the data in the table, how many students are in the range [tex]12 \, \text{cm}[/tex] to [tex]13.9 \, \text{cm}[/tex]?

A. 3
B. 4
C. 7
D. 8



Answer :

GinnyAnswer
To determine the number of students with handprint lengths in the range [tex]\(12 \text{ cm} \leq \text{length} \leq 13.9 \text{ cm}\)[/tex], follow these steps:

1. Identify the range: We need to count all lengths that fall between 12 cm and 13.9 cm, inclusive.

2. Review the data: The lengths of the handprints given are:
- 14.0 cm, 11.5 cm, 12.1 cm, 16.2 cm, 13.5 cm, 14.3 cm, 16.8 cm
- 12.4 cm, 13.7 cm, 12.0 cm, 14.7 cm, 15.2 cm, 11.9 cm, 15.6 cm
- 13.8 cm, 14.2 cm, 12.5 cm, 15.0 cm, 16.0 cm, 13.1 cm, 11.7 cm

3. Count the lengths within the specified range:
- From the first row: The lengths within 12 cm to 13.9 cm are 12.1 cm and 13.5 cm.
- From the second row: The lengths within 12 cm to 13.9 cm are 12.4 cm, 13.7 cm, and 12.0 cm.
- From the third row: The lengths within 12 cm to 13.9 cm are 13.8 cm, 12.5 cm, and 13.1 cm.

4. List of all lengths in the range: [tex]\( 12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, 13.1 \)[/tex]

5. Count them: There are 8 lengths in total.

Therefore, the number of students whose handprint lengths are in the range [tex]\(12 \text{ cm} \leq \text{length} \leq 13.9 \text{ cm}\)[/tex] is [tex]\(\boxed{8}\)[/tex].

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