Table of contents

1. Intro to Stats and Collecting Data1h 14m
2. Describing Data with Tables and Graphs1h 55m
3. Describing Data Numerically2h 5m
4. Probability2h 16m
5. Binomial Distribution & Discrete Random Variables3h 6m
6. Normal Distribution and Continuous Random Variables2h 11m
7. Sampling Distributions & Confidence Intervals: Mean3h 23m
8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
9. Hypothesis Testing for One Sample3h 29m
10. Hypothesis Testing for Two Samples4h 50m
11. Correlation1h 6m
12. Regression1h 50m
13. Chi-Square Tests & Goodness of Fit1h 57m
14. ANOVA1h 57m

1. Intro to Stats and Collecting Data

Intro to Stats

Statistics

1. Intro to Stats and Collecting Data

Intro to Stats

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1:36 minutes

Problem 1.2.19

Textbook Question

In Exercises 13–20, determine whether the data are from a discrete or continuous data set.
Statistics Classes In each of her classes, a statistics professor records the number of students who earned a grade of A.

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Understand the difference between discrete and continuous data: Discrete data can only take specific values (often integers), while continuous data can take any value within a range.

Identify the variable in the problem: The variable here is the 'number of students who earned a grade of A' in each class.

Consider the nature of the variable: The number of students is a countable quantity, meaning it can only be whole numbers (e.g., 0, 1, 2, 3, etc.).

Determine if the data can take any value within a range or only specific values: Since the number of students is countable and cannot be fractional, it is limited to specific integer values.

Conclude whether the data is discrete or continuous: Based on the analysis, the data is discrete because it consists of countable, specific values.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Discrete Data

Discrete data refers to countable data points that can take on distinct, separate values. In the context of the question, the number of students earning a grade of A is a discrete data set because it involves counting individual students, resulting in whole numbers without fractions or decimals.

Continuous Data

Continuous data represents measurements that can take on any value within a given range, often involving fractions or decimals. Unlike discrete data, continuous data is not countable but measurable, such as height or temperature. Understanding this distinction helps in identifying the nature of the data set in the question.

Data Set Classification

Classifying data as discrete or continuous is crucial for selecting appropriate statistical methods. Discrete data often uses methods like frequency counts and probability distributions, while continuous data might involve measures like mean and standard deviation. Recognizing the type of data helps in applying the correct analytical techniques.

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In Exercises 13–20, determine whether the data are from a discrete or continuous data set.Statistics Classes In each of her classes, a statistics professor records the number of students who earned a grade of A.

Key Concepts

Discrete Data

Continuous Data

Data Set Classification

Watch next

In Exercises 13–20, determine whether the data are from a discrete or continuous data set.
Statistics Classes In each of her classes, a statistics professor records the number of students who earned a grade of A.