The bar graph above shows the number of students in four...

The bar graph above shows the number of students in four universities who received financial aid from the university in $2015 .$ The average size of the financial aid package per student at universities $A, B, C,$ and $D$ was $\$ 15,500 ; \$ 21,000 ; \$ 18,700 ;$ and $\$ 14,300$ , respectively. Which university gave out the greatest total amount of financial aid? $$\begin{array}{l}{\text { (A) } A} \\ {\text { (B) } B} \\ {\text { (C) } C} \\ {\text { (D) } D}\end{array}$$

The bar graph above shows the number of students in
four universities who received financial aid from the
university in $2015 .$ The average size of the financial
aid package per student at universities $A, B, C,$ and $D$
was $\$ 15,500 ; \$ 21,000 ; \$ 18,700 ;$ and $\$ 14,300$ ,
respectively. Which university gave out the greatest total amount of financial aid?
$$\begin{array}{l}{\text { (A) } A} \\ {\text { (B) } B} \\ {\text { (C) } C} \\ {\text { (D) } D}\end{array}$$

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Key Concepts

Total Calculation Using Multiplication

This concept involves determining the overall sum or total amount by multiplying individual amounts (such as the average aid per student) by the number of units (students). It is a fundamental operation in algebra where a unit rate is scaled by a quantity to produce a total value.

Comparative Analysis of Quantitative Data

After calculating totals, the next vital step is to compare these figures to determine which is the greatest. This concept includes analyzing and interpreting the results of multiplicative operations to draw conclusions or make informed decisions based on quantitative comparisons.

Graphical Data Interpretation

This concept involves extracting numerical information from visual data representations like bar graphs. It requires understanding the scale, labels, and differences between values represented by the lengths or heights of bars, which is crucial for comparing quantitative data across different categories or groups.

Arithmetic Mean

The arithmetic mean, or average, is a measure of central tendency that is calculated by summing a set of numerical values and then dividing by the number of values. In the context of this problem, it represents the typical financial aid granted per student at each institution, serving as a key factor for further calculations.

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