Study Guide Analyst Word Problems Exam Math
Today’s topic for GED math: data analysis questions. Data analysis questions on the take on three major forms:. Data representations.
Descriptive statistics. Probability Probability is a complex topic that deserves its own post, so we’ve got you covered on that topic. In this post, we’re going to focus on the first two types of data analysis questions: data representations and descriptive statistics. Data Representations The first major type of data analysis question you’ll see are those involving data representations— the visual ways that we present data in graphs, charts, and tables. You’ll need to be able to read and pull information from several different types of visual data representations in order to answer the questions on the GED math test.
Table The most basic type of data representation is a table, which uses columns and rows to sort data by category. For example, here’s a table showing high temperatures in Chicago over the course of a given week. We’ll get LOTS of practice using information from tables in the Descriptive Statistics section below, so for now, we’ll move on to other, more complex representations. Line Graph A line graph plots individual data points on x- and y-axes, then connects those points with a line to form what’s called a series. For example, here’s a line graph showing the same data from above about the temperatures in Chicago: You might also encounter line graphs that contain more than one series. These are used to compare different types of data.
In these cases, each series will use a different color and/or symbol and a key to help you keep track of which data is which. Here is an example, again using temperatures in Chicago, but adding a little more complexity: See if you can answer these questions based on the above graph (answers below): 1. Which day had the lowest average temperature? Which day reached the highest temperature? On which two days were the high temperatures the same? On which days did the high temperature sink below Sunday’s low temperature? Which two days had the widest temperature range over the course of the day?
Scatter Plot A scatter plot is used to show data in a similar way to a line graph, only there is no line connecting each of the points. In the example below, hours spent studying are graphed against test scores. Sometimes, a scatter plot includes a line known as a line of best fit. This line is used to show a general trend in the data. The line of best fit in the graph below helps you see the relationship between the variables. Try the following question: Based on the graph above, there appears to be what kind of correlation between hours spent studying and test score?
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A) Positive correlation B) Negative correlation C) No correlation Bar Graph Bar graphs are used for comparing data. Like line graphs and scatter plots, they use x- and y-axes to plot data. Bar graphs, however, use shaded bars to represent the data instead of individual points.
Here’s an example: Try to answer this question based on the graph (answer below): At which educational level is there the greatest income gap between men and women? Pie Chart The final type of data representation you are likely to see is a pie chart. These are the most different from the other types of graphs we’ve seen.
On a pie chart, the entire circle represents a total or a whole. The circle is divided into segments to show the relative sizes of different portions of the whole. Use the chart above to answer the following questions (answers below): 1. The greatest number of students use which form of transportation? If there are a total of 500 students, how many students ride their bikes to school?
If there are a total of 500 students, how many more students take the bus than walk? Descriptive Statistics Descriptive statistics are just that: descriptive.
We need various measures to help us describe and make sense of data we gather. The four types of descriptive statistics you will encounter are mean, median, mode, and range. Mean Mean is the measure people generally think of when they think of the term average.
Mean is calculated by adding up all of the values in the data set, and dividing by the number of values in the set. Consider the following table: To find the mean of the GPAs (the average GPA), you would first add up all of the GPAs: 3.75+3.59+3.78+3.9+3.86+3.65=22.53 Now, divide that sum by the number of values in the set, 6: 22.53÷6=3.755 So, the average GPA of this particular chess club team is about 3.76. You can also use the mean to find the missing value in a data set. Say, for example, you had the following information: Using a little algebra, you can find Robyn’s GPA.
Set up an equation for the mean, filling in all the known values, and the mean, since this information is provided. Let the unknown GPA be x.
Since there are 6 GPAs all together, you would divide by 6 to find the mean. So, your equation and solution will look like this: So, Robyn’s GPA is 3.9. Median The median is the data point that falls in the middle of the set of numbers. In other words, it is the data point that has as many data points above it as below it.
Let’s take the example of the Chicago temperature table again. To find the median, you first need to rearrange the data so that the values are in ascending order: 29,31,34,38,42,42,46 Now, you need to find the data point that is in the middle of the data set. Since there are 7 data points in this set, you are looking for the value that has 3 values above it, and 3 values below it: 29,31,34, 38,42,42,46 So, 38 is the median value in this set of numbers.
If you have an even number of values in a data set, you need to find the pair of numbers in the middle, and then take the mean of those two values. For example, let’s take the average Chicago temperature over a two-week period: Now let’s arrange the values in ascending order: 29,31,34,36,36,37,38,39,42,42,42,43,46,59 The data set now has 14 numbers, so there is no middle number.
Instead, isolate the middle pair: 29,31,34,36,36,37, 38,39,42,42,42,43,46,59 This pair has 6 data points below it, and 6 data points above it. To find the median, calculate the mean of this pair: (38+39)÷2= 77÷2=38.5 So, the median of the daily high temperatures for these two weeks is 38.5 degrees. Mode The mode is the data point that appears most frequently in a set. If no value appears more than once in the set, then the data has no mode. If multiple values appear the same multiple of times, data can have more than one mode. Let’s look again at the daily high temperatures in Chicago, listed in ascending order: 29,31,34,36, 36,37,38,39, 42,42,42,43,46,59 To find the mode, look for any value that appears more than once: 29,31,34, 36,36,37,38,39, 42,42,42,43,46,59 Since 42 shows up the most in the data set, 42 is the mode.
Range Range is simply the difference between the highest and lowest value. The smaller the range, the closer together the values are. The larger the range, the more the values are spread out. For example, let’s look at the ages of people in a local birding group: First, identify the highest value in the group (62), and the lowest value in the group (36). To calculate the range, subtract the lowest value from the highest: 62-36=26 So, we would say that the range of ages in the birding group is 26. Answers Line Graph Answers 1. Monday and Wednesday 4.
Thursday, Friday, and Saturday 5. Sunday and Wednesday Scatter Plot Answer A The line of best fit makes it easier to see the relationship. The line slopes up, so there is a positive correlation. If the line sloped down, there would be a negative correlation. If the line were flat or if the data were too scattered to have a line of best fit, there would be no correlation. Bar Graph Answer Doctoral degree Pie Chart Answers.
Bus. 50 500(0.10)=50. 200 Bus: 500(0.50)=250 Walk: 500(0.10)=50 250-50=200.
The math courses offered during high school can be extremely diverse, as each student will come in with a different mathematics background and different mathematics goals. Placement into the correct entry-level course is essential in order to build conceptual understanding and prepare students for the higher level classes they will face later in their high school curriculum.
Most students enter High School Math at either the Pre-Algebra or Algebra I level. Pre-Algebra is designed to introduce students to variable manipulation gradually, while Algebra I is more focused on function properties and linear graphing. Concepts in Pre-Algebra include an introduction to several common mathematical operations and identities, such as the rules governing exponents, logarithms, and absolute values. Pre-Algebra will also address important properties, such as the distributive and associative properties, which will become essential in building the basis for variable manipulation.
Pre-Algebra classes usually finish with basic single-variable equations and an introduction to linear functions. This introduction fuels the basis for Algebra I, which focuses of linear and quadratic functions. Students will learn the properties of various graphs and be able to manipulate quadratic functions using FOIL and the quadratic formula. Algebra I classes generally finish by touching on parabola graphing, which will form the basis for Algebra II. Following Pre-Algebra and Algebra I, most students will take a course in Geometry.
Geometry classes are generally used to introduce some three-dimensional aspects of mathematics, beginning with the concepts of points, planes, and shapes. Students will learn to analyze the length, area, and volume of various figures and be introduced to several triangle concepts, which will be used in later courses.
Angles, similarity, and congruent features will be focuses of Geometry classes. Algebra II and Trigonometry classes are usually taught after Geometry.
Study Guide Analyst Word Problems Exam Math Suggestion
Algebra II will focus almost exclusively on quadratic and polynomial equations, while Trigonometry will be dedicated to the identities and properties of trigonometric operations. Algebra II will require students to develop an understanding of higher-level functions and polynomials, as well as the characteristics of their graphs. Parabolas, circles, and other conic sections will be emphasized, as will sigmoidal curves. Trigonometry often requires a great deal of memorization, as trigonometric operations frequently have different properties compared to standard mathematical operations taught at lower levels.
Following Algebra II and Trigonometry, some students choose to pursue further mathematics toward calculus. Courses in Pre-Calculus commonly precede courses in AP Calculus, and are used to build upon Algebra II concepts to introduce fundamental calculus principles. Pre-Calculus is where most students first encounter limits, sequences, and series in mathematics courses. These concepts, as well as Riemann sums and preliminary derivatives, are generally introduced on a conceptual level during Pre-Calculus, and then expanded upon to build a technical understanding during courses in Calculus. Most high schools will only offer Calculus in an AP context. Initial courses in Calculus will focus on limits and derivatives, while secondary courses will emphasize integrals and series. Few students reach this level of mastery during high school, but those who do are frequently able to test out of introductory math classes at the college level.
If you’re aiming to master a particular level of High School Math and are looking for excellent resources to help you do so, look no further than Varsity Tutors’ free High School Math Practice Tests. Consisting of between ten and twelve problems apiece, each High School Math Practice Tests includes a full explanation of the answer to each question explaining how you solve the problem. Upon completion of each High School Math Practice Test, you receive detailed statistics about how well you did in comparison to other test-takers and how long you took to solve each problem. By making use of Varsity Tutors’ free High School Math Practice Tests and other free High School Math resources, you can master your current classes and even prepare yourself for those you will take in the future!
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