Final answer:
The calculated class size for the range 150-175 is 26, as it is the result of subtracting the lower limit from the upper limit and adding one. However, none of the provided options match this result. When predicting the number of students to receive $250 or more out of a sample of 200, based on the given data, the closest estimate is 50 students.
Step-by-step explanation:
To determine the size of the class when the range is specified as 150-175, we can consider that the range is the difference between the largest and the smallest numbers in the dataset. The size of the class is also known as the class width or class interval. In this range, the smallest number that can represent the starting point is 150 and the largest is 175. Therefore, to find the size of the class (class width), you subtract the lower class limit from the upper class limit and add one (because the range is inclusive of both endpoints).
So the calculation would be: Size of the class = Upper limit - Lower limit + 1 = 175 - 150 + 1 = 26.
However, none of the options provided (A, B, C, D) matches the calculated class size of 26. Therefore, if the options were meant to represent the size of the class, there might be a mistake as none of them corresponds to 26, which is the calculated class width.
In the context of determining how many students are expected to receive $250 or more based on the given samples, we need to count the occurrences of amounts that are $250 or greater in the list. There is a total of 12 amounts that are $250 or more out of the 50 samples provided. If we want to predict this proportion for a larger group of 200, we would calculate:
(Number of students receiving $250 or more in sample / Total number of students in sample) *Total number of students in larger group = (12/50) * 200 = 0.24 * 200 = 48.
As this is a prediction based on a sample, the closest whole number to 48 is 50. Considering standard options provided in multiple-choice questions, the closest answer to the prediction would be A. 50.