Question

based on the histogram, what is the longest time a classmate can take? 10 hours 11 hours 15 hours 16 hours

Explanation:

Step1: Analyze the histogram's x - axis

The x - axis represents the number of hours. Each bar's right - hand boundary (excluding the last bar if it's an open - ended class) gives the upper limit of the class interval. For a histogram, if the class intervals are \(6 - 8\), \(8 - 10\), \(10 - 12\), \(12 - 14\), \(14 - 16\), the values in the class \(14 - 16\) range from \(14\) (inclusive) to \(16\) (exclusive). But if we assume the last class is \(14 - 16\) (where the data within the class satisfies \(14\leq x<16\)), the maximum value a classmate can take is just less than \(16\). However, if we consider the way histograms are often used for discrete - like data (where we can take the upper - class boundary as the maximum in the context of the problem's options), looking at the options given:

• The first option \(10\) hours is the upper - boundary of the \(8 - 10\) class.
• The second option \(11\) hours is less than \(15\) and \(16\).
• The third option \(15\) hours is less than \(16\).
• The fourth option \(16\) hours: In a histogram, if the last class is \(14 - 16\) (a common class - interval setup), the upper - class boundary is \(16\). When we are asked for the longest time a classmate can take (in the context of the options provided and typical histogram interpretation where we consider the upper - class boundary as the maximum value for the class in terms of the options), we choose the upper - most value among the options that aligns with the class structure.

Answer:

D. 16 hours