In a population of 150 scores, the largest score is 85 and the smallest 12. If these data are organized into a grouped frequency distribution, i will be
A) 3
B) 4
C) 5
D) 10.

Question

Quizplus · Accepted Answer

The range of the data is 85 - 12 = 73. A common method for determining the number of classes (i) in a frequency distribution is to use Sturges' formula, which is i = 1 + 3.322 log N, where N is the number of observations. For N = 150, this gives i ≈ 1 + 3.322 log(150) ≈ 8. However, since this specific question does not provide a clear method for determining i and the options given do not include 8, the next best approach is to consider the context and the options provided. Without a specific formula or method indicated in the question, and given the options available, it's not possible to directly apply a standard rule to choose among the provided options (A, B, C, D). Therefore, the correct answer is chosen based on the assumption that a typical approach or a reasonable number of classes for a dataset of this size might be sought, which often falls into the range of 5 to 20 classes for practical purposes. However, without additional context or a specified method for determining i, the selection of "C) 5" is based on a common approach to data organization rather than a strict calculation.

In a Population of 150 Scores, the Largest Score Is