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

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1. The commonly used Sturges' rule for determining the number of classes in a histogram is given by
   $$
   k = 1 + \log_2 n
   $$
   where $$ n $$ is the sample size.

2. For this problem, the sample size is $$ n = 25 $$.

3. First, calculate $$ \log_2 25 $$. We can use the change-of-base formula:
   $$
   \log_2 25 = \frac{\log_{10} 25}{\log_{10} 2}
   $$
   Using approximations, we have:
   $$
   \log_{10} 25 \approx 1.3979 \quad \text{and} \quad \log_{10} 2 \approx 0.3010
   $$
   Thus,
   $$
   \log_2 25 \approx \frac{1.3979}{0.3010} \approx 4.643
   $$

4. Plug this value into the formula:
   $$
   k = 1 + 4.643 \approx 5.643
   $$

5. Because the number of classes must be a whole number, we round up to obtain:
   $$
   k \approx 6
   $$

Therefore, 6 classes should be used in the construction of the histogram.
6 classes should be used in the histogram.

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

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