About This Chapter
TACHS: Statistics & Data Analysis - Chapter Summary
This chapter closely examines statistics and data analysis so you're ready to address this subject area on the TACHS test. By reviewing the lessons, you will be prepared for:
- Demonstrating how to identify and calculate averages
- Calculating mean, median, mode and range
- Defining quantitative data, the center in a data set and spread in data sets
- Examining continuous, discrete and categorical variables
- Analyzing the scales of measurement and maximums, minimums and outliers in a data set
- Ordering and ranking data, understanding visual representations of a data set and calculating the standard deviation
- Defining quartiles and the interquartile range and finding percentiles in a data set
Expert instructors provide you the definitions and examples you need to fully understand statistics and data analysis. If you need additional clarity after reviewing the lessons, submit your questions to our tutors who are eager to assist.
TACHS: Statistics & Data Analysis Chapter Objectives
The Test for Admission into Catholic High Schools (TACHS) is required for 8th grade students interested in attending Catholic high schools in the Archdiocese of New York or Diocese of Brooklyn/Queens. It consists of multiple-choice questions that explore math, language, reading and ability.
You can study for topics in the math section of the test by reviewing lessons in this chapter. Also, access self-assessment quizzes and a chapter exam that give you practice with questions similar in content and format to those on the test. Use the resources in this chapter today to be ready to take the TACHS test in November for admission during the following school year.
1. Identifying & Calculating Averages
After watching this video lesson, you will be able to calculate any kind of average, even the average of certain events when some events repeat. Learn the general formula to use to calculate any average.
2. Mean, Median & Mode: Measures of Central Tendency
By describing the data using central tendency, a researcher and reader can understand what the typical score looks like. In this lesson, we will explore in more detail these measures of central tendency and how they relate to samples and populations.
3. How to Calculate Mean, Median, Mode & Range
Measures of central tendency can provide valuable information about a set of data. In this lesson, explore how to calculate the mean, median, mode and range of any given data set.
4. What is Quantitative Data? - Definition & Examples
Watch this video lesson to find out the difference between saying you have seven apples and saying that those apples are delicious. You will learn about quantitative data and why it is useful.
5. Continuous, Discrete & Categorical Variables: Definition and Examples
When doing research, variables come in many types. In this lesson, we'll explore the three most common types of variables: continuous, discrete, and categorical.
6. Scales of Measurement: Nominal, Ordinal, Interval & Ratio
When doing research, variables are described on four major scales. In this lesson, we'll look at the major scales of measurement, including nominal, ordinal, interval, and ratio scales.
7. Ordering & Ranking Data: Process & Example
Ordering and ranking data can often be more important than you might think. In addition to being an important part of competitions, ranking data can be another way of analyzing and evaluating research.
8. What is the Center in a Data Set? - Definition & Options
Finding the center in a data set can sometimes be a little confusing. This lesson will help you determine the correct method for finding the center in a data set, and when you are finished, test your knowledge with a short quiz!
9. Visual Representations of a Data Set: Shape, Symmetry & Skewness
Visual representations are a fantastic way of understanding and analyzing your data. Use this lesson to understand the characteristics of visual representations of data.
10. Spread in Data Sets: Definition & Example
Identifying the spread in data sets is a very important part of statistics. You can do this several ways, but the most common methods are through range, interquartile range, and variance.
11. Maximums, Minimums & Outliers in a Data Set
When analyzing data sets, the first thing to identify is the maximums, minimums, and outliers. This lesson will help you learn how to identify these important items.
12. Quartiles & the Interquartile Range: Definition, Formulate & Examples
Quartiles and the interquartile range can be used to group and analyze data sets. In this lesson, learn the definition and steps for finding the quartiles and interquartile range for a given data set.
13. Finding Percentiles in a Data Set: Formula & Examples
Percentiles are often used in academics to compare student scores. Finding percentiles in a data set can be a useful way to organize and compare numbers in a data set.
14. Calculating the Standard Deviation
In this lesson, we will examine the meaning and process of calculating the standard deviation of a data set. Standard deviation can help to determine if the data set is a normal distribution.
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Other chapters within the Test for Admission into Catholic High Schools (TACHS): Practice & Study Guide course
- TACHS: Vocabulary Practice
- TACHS: Reading Comprehension
- TACHS: Reading Interpretation & Analysis
- TACHS: Technical & Informational Text
- TACHS: Literary Text
- TACHS: Poetry
- TACHS: Language & Spelling
- TACHS: Sentence Structure & Word Usage
- TACHS: Expressing Ideas in Writing
- TACHS: Number Sense & Operations
- TACHS: Basic Arithmetic Operations
- TACHS: Integers
- TACHS: Irrational & Rational Numbers
- TACHS: Inequality Practice
- TACHS: Estimation in Mathematics
- TACHS: Decimals
- TACHS: Fractions
- TACHS: Percent
- TACHS: Ratios & Proportion
- TACHS: Basic Algebraic Expressions
- TACHS: Algebraic Distribution
- TACHS: Square Roots
- TACHS: Exponents & Exponential Expressions
- TACHS: Scientific Notation
- TACHS: Standard Measurement
- TACHS: Introduction to Geometry
- TACHS: Geometric Measurement
- TACHS: Symmetry, Similarity & Congruence
- TACHS: Properties of Lines
- TACHS: The Coordinate Graph
- TACHS: Transformations in Math
- TACHS: Triangles
- TACHS: Triangle Theorems & Proofs
- TACHS: The Pythagorean Theorem
- TACHS: Graphical Representations of Data
- TACHS: Probability & Permutations
- TACHS: Properties of Functions
- TACHS: Graphing Functions
- TACHS: Factoring
- TACHS: Simplifying & Solving Rational Expressions
- TACHS: Linear Equations
- TACHS: Systems of Linear Equations
- TACHS: Mathematical Patterns
- TACHS: Mathematical Reasoning
- TACHS: Reasoning Abilities
- TACHS Flashcards