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Nikki grows 20 tomato plants. She measures their heights to the nearest centimeter and records them as follows:

\begin{tabular}{ccccc}
5 & 10 & 12 & 16 & 14 \\
17 & 20 & 15 & 10 & 7 \\
13 & 11 & 6 & 18 & 15 \\
6 & 12 & 17 & 8 & 12
\end{tabular}

Complete the frequency table.

\begin{tabular}{|c|c|}
\hline Height [tex]$(h \text{ cm})$[/tex] & Frequency \\
\hline [tex]$5 \leq h\ \textless \ 10$[/tex] & \\
\hline [tex]$10 \leq h\ \textless \ 15$[/tex] & \\
\hline [tex]$15 \leq h\ \textless \ 20$[/tex] & \\
\hline [tex]$20 \leq h\ \textless \ 25$[/tex] & \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Sure, we will complete the frequency table by counting the number of tomato plants whose heights fall into each specified range.

Here are the heights Nikki measured:

[tex]\[ 5, 10, 12, 16, 14, 17, 20, 15, 10, 7, 13, 11, 6, 18, 15, 6, 12, 17, 8, 12 \][/tex]

To complete the frequency table, we will count the number of heights in each range:

1. Count the number of heights in the range \(5 \leq h < 10\):
- Heights in this range: 5, 7, 6, 6, 8
- Count: 5

2. Count the number of heights in the range \(10 \leq h < 15\):
- Heights in this range: 10, 12, 14, 10, 13, 11, 12, 12
- Count: 8

3. Count the number of heights in the range \(15 \leq h < 20\):
- Heights in this range: 16, 17, 18, 15, 17, 15
- Count: 6

4. Count the number of heights in the range \(20 \leq h < 25\):
- Heights in this range: 20
- Count: 1

Now, we can fill out the frequency table:

[tex]\[ \begin{tabular}{|c|c|} \hline Height [tex]$(h \, \text{cm})$[/tex] & Frequency \\
\hline [tex]$5 \leq h<10$[/tex] & 5 \\
\hline [tex]$10 \leq h<15$[/tex] & 8 \\
\hline [tex]$15 \leq h<20$[/tex] & 6 \\
\hline [tex]$20 \leq h<25$[/tex] & 1 \\
\hline
\end{tabular}
\][/tex]

This is the completed frequency table for the heights of Nikki's tomato plants.

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