Question

sharinel gathers data from sacs students about their curfew time on weekends. the data is found in a table below.

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$$\begin{tabular}{|c|c|c|c|c|c|} \\hline curfew time & 9:00-9:30 & 9:30-10:00 & 10:00-10:30 & 10:30-11:00 & 11:00-11:30 \\\\ \\hline frequency & 2 & 5 & 8 & 11 & 16 \\\\ \\hline \\end{tabular}$$

if this data were plotted on a frequency histogram, what is the height of the tallest bar?

Explanation:

Identify the given data

Using the Data Extraction knowledge point
The frequency table lists the following intervals and their corresponding frequencies:

• \(9:00\text{–}9:30\): \(2\)
• \(9:30\text{–}10:00\): \(5\)
• \(10:00\text{–}10:30\): \(8\)
• \(10:30\text{–}11:00\): \(11\)
• \(11:00\text{–}11:30\): \(16\)

Determine the tallest bar height

Using the Histogram Interpretation knowledge point
In a frequency histogram, the height of each bar represents the frequency of that interval. The tallest bar corresponds to the interval with the highest frequency:

$$ \text{Maximum Frequency} = \max(2, 5, 8, 11, 16) = 16 $$

Answer:

16