The number of weekly sales calls by a sample of 25 pharmaceutical salespersons is below. How many classes should be used in the construction of a histogram? H7, 33, 31, 40, 50
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
The Deep Dive
To determine the number of classes for a histogram, you can use Sturges' formula, which is often expressed as \( k = 1 + 3.322 \log(n) \), where \( n \) is the number of data points. In this case, with 25 salespersons, Sturges' formula gives us \( k = 1 + 3.322 \log(25) \), which can be approximated to about 6 classes. This means you should aim for around 6 categories to express your data effectively! When constructing your histogram, it's essential to remember that the classes (or bins) should be of equal width and should cover the entire range of your data. A common mistake is having overlapping or unequal class widths, which can lead to misinterpretation of the data distribution. Ensure your classes are neatly defined to truly reflect the sales trends!