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Chapter 2: Problem 9

Sleep (Example 2) An instructor asks a class of 120 students how many hours they slept during the previous night. What shape do you think this distribution will have? Explain.

Short Answer

Expert verified
The distribution of this data is likely to form a 'Normal Distribution' or 'Bell Curve'. This is because the majority of the students are likely to have around average sleep hours, while fewer students would have significantly lower or higher sleep hours.

Step by step solution

01

Understanding Data Distribution

In statistics, data distribution refers to the way in which a set of data is spread out and presented. It can be visualized using various graphs including histograms, bar charts, pie charts etc. For this particular problem, considering numerical data (the hours of sleep), the histogram distribution is the most appropriate.
02

Predicting the Shape of Distribution

The shape of the distribution could likely be a 'normal distribution' or 'bell shaped curve'. This is because in a typical population like this, the amount of sleep that students get is likely to be around an 'average' value with a small number of students getting a lot less or a lot more sleep. These assumptions are based on typical human sleep patterns and the tendency for most students to need approximately the same amount of sleep.
03

Explain the Shape of Distribution

The average or middle range values (around 7-9 hours for high school students) will be the top or peak of the curve, as this is likely the hours the majority of students sleep. The tail ends will represent students who sleep significantly less or significantly more than the average, respectively.

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Most popular questions from this chapter

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