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GRE Quantitative Reasoning - Core Concepts

Essential quantitative concepts, formulas, and problem-solving strategies for GRE preparation

20 cards

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#1

Front

What is the formula for the average (arithmetic mean) of a set of numbers?

Back

Average = (Sum of all values) / (Number of values). For example, the average of 4, 8, and 12 is (4 + 8 + 12) / 3 = 24 / 3 = 8. The mean is sensitive to extreme values (outliers).

#2

Front

How do you find the median of an odd-sized dataset?

Back

Arrange all values in ascending order; the median is the middle value. For 3, 7, 9, 12, 15: the median is 9 (position 3 of 5). Formula: position = (n + 1) / 2.

#3

Front

How do you find the median of an even-sized dataset?

Back

Arrange values in ascending order; the median is the average of the two middle values. For 3, 7, 10, 14: median = (7 + 10) / 2 = 8.5.

#4

Front

Define mode and range in descriptive statistics.

Back

Mode: the value that appears most frequently (a dataset can have multiple modes or no mode). Range: the difference between the maximum and minimum values (Range = Max - Min).

#5

Front

What is the difference between simple interest and compound interest formulas?

Back

Simple Interest: I = P × r × t (Principal times rate times time). Compound Interest: A = P(1 + r/n)^(nt), where n is compounding frequency per year. Compound interest grows faster over time.

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