The question shown in your image involves finding the upper boundary of class 2 and the lower boundary of class 4 for a grouped data table on portions of a dish sold.

Here's how you can determine the boundaries:

1. Upper boundary of class 2:

   • Class 2 spans 30-39.
   • To find the upper boundary, add half of the class width to the upper class limit.
   • The class width is determined from the difference between any upper and lower class limits, which is 10 (i.e., 30-20).
   • Upper boundary = 39 + (10/2) = 44.5

2. Lower boundary of class 4:

   • Class 4 spans 50-59.
   • To find the lower boundary, subtract half of the class width from the lower class limit.
   • Lower boundary = 50 - (10/2) = 45.0

Now let's check the options provided in the image:

• a. 30 and 59
• b. 38.5 and 50.5
• c. 39.5 and 59.5
• d. 39.5 and 49.5
• e. 39 and 50

The correct boundaries, based on the calculations, are 44.5 for the upper boundary of class 2 and 45.0 for the lower boundary of class 4. However, none of the options perfectly matches these boundaries. Therefore, let's check if the question was asking about the exact boundaries or the class limits:

• Upper class limit of Class 2 is 39.
• Lower class limit of Class 4 is 50.

The option that best corresponds with the limits (not exact boundaries) is:

• e. 39 and 50

Would you like to know more details on how to calculate these boundaries or have any other questions? Here are some possible follow-up questions you might consider:

1. What is the significance of finding class boundaries in data analysis?
2. How do you calculate the mid-point of a class interval?
3. What is the difference between class limits and class boundaries?
4. How can understanding these data help in business or statistical analysis?
5. Are there different methods to calculate class boundaries depending on the data?

Tip: Remember that class boundaries are used to eliminate gaps between classes when the data is continuous, allowing for a smoother frequency distribution graph.