Refer to the following: 250 students are taking a college...

Refer to the following: 250 students are taking a college history course. There is one class of size 150 and four classes of size 25 .
Among the 250 students, what is the average size, per student, of their history class?
(A) 35
(B) 50
(C) 100
(D) 125
(E) 137.5

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Sampling Effect in Grouped Data

In situations where data points belong to groups of varying sizes, the average experience of the individuals can differ from a simple class or group average. This is because larger groups contribute more individuals to the overall picture, and a weighted analysis is needed to accurately capture the average outcome from an individual's perspective.

Arithmetic Mean

The arithmetic mean is a measure of central tendency that is calculated by summing a set of numbers and dividing the total by the number of values in the set. It gives an overall ‘average’ value that summarizes a collection of data points, helping to represent a typical element in a dataset.

Weighted Average

A weighted average assigns different weights to different data points depending on their relative importance or frequency in the dataset. Instead of treating all elements equally, each data point is multiplied by its corresponding weight, and then the sum of these products is divided by the total of the weights, providing an average that reflects the distribution of the groups.

Transcript

Please give Ace some feedback