GRE

3.6. Data interpretation Examples

Example 4.6.1: This example is based on the following table DISTRIBUTION OF CUSTOMER COMPLAINTS RECEIVED BY AIRLINE P, 2003 and 2004 Category 2003 2004 Flight problem 20.0% 22.1% Baggage 18.3.8 21 Customer service 13.1 11.3 Reservation and ticketing 5.8 5.6 Credit 1.0 0.8 Special passenger accommodation 0.9 0.9 Other 40.9 37.5 Total 100.0% 100.0% Total number […]

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3.5. Distributions of data, random variables, and probability distributions

Distributions of Data Recall that relative frequency distributions given in a table or histogram are a common way to show how numerical data are distributed. In a histogram, the areas of the bars indicate where the data are concentrated. The histogram of the relative frequency distribution of the number of children in each of 25 […]

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3.4. Probability

Probability is a way of describing uncertainty in numerical terms. In this section, we review some of the terminology used in elementary probability theory. A probability experiment, also called a random experiment, is an experiment for which the result, or outcome, is uncertain. We assume that all of the possible outcomes of an experiment are known […]

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3.3. Counting methods

Sets and Lists The term set has been used informally in this review to mean a collection of objects that have some property, whether it is the collection of all positive integers, all points in a circular region, or all students in a school that have studied French. The objects of a set are called […]

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3.2. Numerical methods for describing data

Measures of Central Tendency Measures of central tendency indicate the “center” of the data along the number line and are usually reported as values that represent the data. There are three common measures of central tendency: 1. The arithmetic mean—usually called the average or simply the mean 2. The median 3. The mode To calculate the mean […]

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3.1. Methods for presenting data

Data can be organized and presented using a variety of methods. Tables are commonly used, and there are many graphical and numerical methods as well. In this section, we review tables and some common graphical methods for presenting and summarizing data. In data analysis, a variable is any characteristic that can vary for a population of individuals […]

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2.9. Graphs of functions

The coordinate plane can be used for graphing functions. To graph a function in the xy-plane, you represent each input x and its corresponding output f(x) as a point (x,y) where y = f(x). In other words, you use the x-axis for the input and the y-axis for the output. Below are several examples of […]

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2.8. Coordinate geometry

Two real number lines that are perpendicular to each other and that intersect at their respective zero points define a rectangular coordinate system, often called the xy-coordinate system or xy–plane. The horizontal number line is called the x-axis and the vertical number line is called the y-axis. The point where the two axes intersect is called the origin, […]

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2.7. Applications

Translating verbal descriptions into algebraic expressions is an essential initial step in solving word problems. Three examples of verbal descriptions and their translations are given below. Example 2.7.1: If the square of the number x is multiplied by 3 and then 10 is added to that product, the result can be represented algebraically by 3×2 + […]

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