# Ch 19: Cambridge Pre-U Mathematics: Interpreting Data

### About This Chapter

## Cambridge Pre-U Mathematics: Interpreting Data - Chapter Summary

Through these short, engaging lesson videos, you may review the concept of the center in a data set, the statistics used to represent it, different measures of variability from the center and the range of a data set. Each lesson is taught by an expert instructor who will explain these concepts as well as the equations used to find their quantitative values. Once you've studied the material, you should have a better understanding of:

- The mean, median and mode of a data set
- Using visual presentations to describe the shape of a data set
- The variability and skewness of data
- Differences between unimodal and bimodal data sets
- Outliers and the maximum and minimum values of a data set
- Quartiles and interquartile range
- Percentiles of data sets
- Standard deviation, variance and how to calculate them
- Purposes of linear transformations on data sets
- The contrasts between sample variance and population

To fortify your understanding of these lessons, read the transcripts and then take the quizzes. Following your completion of the lessons and quizzes of this chapter, complete the practice chapter exams to ensure that you've properly comprehended the mathematical concepts listed above.

### 1. 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!

### 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. 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.

### 5. Measures of Dispersion and Skewness

Watch this video lesson to learn how you can describe your data using two different statistical characteristics. Learn what it means for your graph to have variability and what it means for your graph to be skewed.

### 6. Unimodal & Bimodal Distributions: Definition & Examples

Sometimes a single mode does not accurately describe a data set. In this lesson, learn the differences between and the uses of unimodal and bimodal distribution. When you are finished, test your knowledge with a quiz!

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. The Effect of Linear Transformations on Measures of Center & Spread

Linear transformations can be a great way to manipulate and analyze data. This lesson will show you how those transformations affect the center and spread of data.

### 13. Population & Sample Variance: Definition, Formula & Examples

Population and sample variance can help you describe and analyze data beyond the mean of the data set. In this lesson, learn the differences between population and sample variance.

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### Other Chapters

Other chapters within the Cambridge Pre-U Mathematics: Practice & Study Guide course

- Cambridge Pre-U Mathematics: Quadratic Equations
- Cambridge Pre-U Mathematics: Absolute Value
- Cambridge Pre-U Mathematics: Polynomials
- Cambridge Pre-U Mathematics: Functions
- Cambridge Pre-U Mathematics: Coordinate Geometry
- Cambridge Pre-U Mathematics: Circle Measurements
- Cambridge Pre-U Mathematics: Trigonometry
- Cambridge Pre-U Mathematics: Trigonometric Graphs
- Cambridge Pre-U Mathematics: Solving Trigonometric Equations
- Cambridge Pre-U Mathematics: Trigonometric Identities
- Cambridge Pre-U Mathematics: Sequences & Series
- Cambridge Pre-U Mathematics: Exponential & Logarithmic Functions
- Cambridge Pre-U Mathematics: Differentiation
- Cambridge Pre-U Mathematics: Integration
- Cambridge Pre-U Mathematics: Vectors
- Cambridge Pre-U Mathematics: Differential Equations
- Cambridge Pre-U Mathematics: Complex Numbers
- Cambridge Pre-U Mathematics: Numerical Methods
- Cambridge Pre-U Mathematics: Regression & Correlation
- Cambridge Pre-U Mathematics: Probability, Permutations & Combinations
- Cambridge Pre-U Mathematics: Discrete Random Variables
- Cambridge Pre-U Mathematics: Normal Distribution
- Cambridge Pre-U Mathematics: Kinematics
- Cambridge Pre-U Mathematics: Force & Equilibrium
- Cambridge Pre-U Mathematics: Force & Laws of Motion
- Cambridge Pre-U Mathematics: Momentum & Impulse
- Cambridge Pre-U Mathematics: Projectile Motion
- Cambridge Pre-U Mathematics Flashcards