The envelopes of letters received by an office one morning were measured.
The widths (in centimetres) were as follows:
\begin{tabular}{ccccc}
11.8 & 10.3 & 20.5 & 15.4 & 19.2 \
15.0 & 20.7 & 12.8 & 9.7 & 18.9 \
21.4 & 6.1 & 15.9 & 12.2 & 20.6 \
7.9 & 15.0 & 11.3 & 10.0 & 16.1
\end{tabular}
\begin{tabular}{|c|c|c|}
\hline Width & Tally & Frequency \
\hline $5 \leq w

Q: The envelopes of letters received by an office one morning were measured. The widths (in centimetres) were as follows: \begin{tabular}{ccccc} 11.8 & 10.3 & 20.5 & 15.4 & 19.2 \\ 15.0 & 20.7 & 12.8 & 9.7 & 18.9 \\ 21.4 & 6.1 & 15.9 & 12.2 & 20.6 \\ 7.9 & 15.0 & 11.3 & 10.0 & 16.1 \end{tabular} \begin{tabular}{|c|c|c|} \hline Width & Tally & Frequency \\ \hline $5 \leq w<10$ & & $\square$ \\ \hline $10 \leq w<15$ & & $\square$ \\ \hline $15 \leq w<20$ & & $\square$ \\ \hline $20 \leq w<25$ & & $\square$ \\ \hline \end{tabular} Click the tally column to tally off the data and complete the frequency table. (You can click the numbers above as you tally them to cross them off.)

∻Solution by Steps∻ ‖ step 1 ⋮ First, we need to categorize the widths of the envelopes into the specified ranges: $5 \leq w < 10$, $10 \leq w < 15$, $15 \leq w < 20$, and $20 \leq w < 25$. ‖ ‖ step 2 ⋮ Next, we will count how many widths fall into each category based on the provided list of widths: 11.8, 10.3, 20.5, 15.4, 19.2, 15.0, 20.7, 12.8, 9.7, 18.9, 21.4, 6.1, 15.9, 12.2, 20.6, 7.9, 15.0, 11.3, 10.0, 16.1. ‖ ‖ step 3 ⋮ The counts for each range are as follows: - For $5 \leq w < 10$: 1 (6.1) - For $10 \leq w < 15$: 6 (11.8, 10.3, 15.4, 12.8, 9.7, 15.0, 11.3, 10.0) - For $15 \leq w < 20$: 7 (15.4, 19.2, 15.0, 15.9, 12.2, 16.1) - For $20 \leq w < 25$: 5 (20.5, 20.7, 21.4, 20.6) ‖ ‖ step 4 ⋮ Finally, we can fill in the frequency table with the counts obtained: - $5 \leq w < 10$: 1 - $10 \leq w < 15$: 8 - $15 \leq w < 20$: 7 - $20 \leq w < 25$: 4 ‖ ∻Answer∻ ⚹ Frequency counts for each width range are: - $5 \leq w < 10$: 1 - $10 \leq w < 15$: 8 - $15 \leq w

Question

The envelopes of letters received by an office one morning were measured.
The widths (in centimetres) were as follows:
\begin{tabular}{ccccc}
11.8 & 10.3 & 20.5 & 15.4 & 19.2 \
15.0 & 20.7 & 12.8 & 9.7 & 18.9 \
21.4 & 6.1 & 15.9 & 12.2 & 20.6 \
7.9 & 15.0 & 11.3 & 10.0 & 16.1
\end{tabular}
\begin{tabular}{|c|c|c|}
\hline Width & Tally & Frequency \
\hline $5 \leq w<10$ & & $\square$ \
\hline $10 \leq w<15$ & & $\square$ \
\hline $15 \leq w<20$ & & $\square$ \
\hline $20 \leq w<25$ & & $\square$ \
\hline
\end{tabular}

Click the tally column to tally off the data and complete the frequency table.
(You can click the numbers above as you tally them to cross them off.)

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ First, we need to categorize the widths of the envelopes into the specified ranges: $5 \leq w < 10$, $10 \leq w < 15$, $15 \leq w < 20$, and $20 \leq w < 25$. ‖ ‖ step 2 ⋮ Next, we will count how many widths fall into each category based on the provided list of widths: 11.8, 10.3, 20.5, 15.4, 19.2, 15.0, 20.7, 12.8, 9.7, 18.9, 21.4, 6.1, 15.9, 12.2, 20.6, 7.9, 15.0, 11.3, 10.0, 16.1. ‖ ‖ step 3 ⋮ The counts for each range are as follows: - For $5 \leq w < 10$: 1 (6.1) - For $10 \leq w < 15$: 6 (11.8, 10.3, 15.4, 12.8, 9.7, 15.0, 11.3, 10.0) - For $15 \leq w < 20$: 7 (15.4, 19.2, 15.0, 15.9, 12.2, 16.1) - For $20 \leq w < 25$: 5 (20.5, 20.7, 21.4, 20.6) ‖ ‖ step 4 ⋮ Finally, we can fill in the frequency table with the counts obtained: - $5 \leq w < 10$: 1 - $10 \leq w < 15$: 8 - $15 \leq w < 20$: 7 - $20 \leq w < 25$: 4 ‖ ∻Answer∻ ⚹ Frequency counts for each width range are: - $5 \leq w < 10$: 1 - $10 \leq w < 15$: 8 - $15 \leq w < 20$: 7 - $20 \leq w < 25$: 4 ⚹ ∻Key Concept∻ ⚹ Frequency distribution helps in organizing data into specified ranges for better analysis. ⚹ ∻Explanation∻ ⚹ The frequency table summarizes how many envelopes fall into each width category, providing a clear view of the data distribution. ⚹◊How many widths fall into the range of $10 \leq w < 15$?⍭ Generate me a similar question◊

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