Solved: Assessment 1: Descriptive Statistics

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InstructionsResourcesActivityAttempt 1Attempt 2Attempt 3

InstructionsResourcesActivityAttempt 1Attempt 2Attempt 3

Use statistical software to create, interpret, and analyze two histograms in a Word document.

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Introduction

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Descriptive statistics are just what they sound like, statistics that allow you to describe or summarize the data with regard to such things as their distribution and their spread. Descriptive statistics provide you with a picture of your data while inferential statistics (which we will discuss in subsequent assessments) allow you to draw conclusions about relationships between variables or differences between groups.

A solid understanding of descriptive statistics is foundational to grasping the concepts presented in inferential statistics. This assessment measures your understanding of key elements of descriptive statistics.

Insructions

Your first statistical software assessment includes two sections in which you will do the following:

  1. Create two histograms.
  2. Calculate measures of central tendency and dispersion.

This will give you some experience with the data set.

Key Details and Instructions

Download the 7864 data set, grades.jasp Download grades.jasp, which is a sample data set, and save it to your computer. The data represent a teacher’s recording of student demographics and performance on quizzes and a final exam. For this assessment, you will create and describe two histograms and a descriptives table using these data.

Section 1: Histograms for Visual Interpretation

Using the final and lowup variables in your grades.jasp data set, create two histograms and paste them into your Word document:

Variables and Definitions

VariableDefinition
Lowuplower division =1; Upper division =2
FinalFinal exam: number of correct answers

Create:

  • A histogram for lower division.
  • A histogram for upper division.

Briefly describe what a visual inspection of this output tells you about the shape of the distributions.

Section 2: Calculate Measures of Central Tendency and Dispersion

Using the grades.jasp Download grades.jaspfile, compute descriptive statistics, including mean, standard deviation, skewness, and kurtosis for gpa and quiz3.

Variables and Definitions

VariableDefinition
GPAPrevious grade point average
Quiz3Quiz 3: number of correct answers

Create a descriptives table and paste it into your Word document.

Under the table:

  • Report the mean, standard deviation, skewness, and kurtosis for GPA and quiz3.
  • Briefly describe what skewness and kurtosis tell you about these data with regard to normality.

Submit both sections of your assessment as an attached Word document.

Software

The following statistical analysis software is required to complete your assessments in this course:

Refer to the Tools and Software: JASP page on Campus for general information. Make sure that your statistical software is downloaded, installed, and running properly on your computer.

Competencies Measured

By successfully completing this assessment, you will demonstrate your proficiency in the course competencies through the following assessment scoring guide criteria:

  • Competency 4: Interpret the results of statistical analyses.
    • Below the output, provide an accurate interpretation of histograms for lower division students and upper division students.
    • Below the output, report descriptive statistics and interpret skew and kurtosis values.
  • Competency 5: Apply a statistical programs procedure to data.
    • Provide histograms for lower division students and upper division students.
    • Provide a descriptive statistics table.

Descriptive Statistics Scoring Guide

CRITERIANON-PERFORMANCEBASICPROFICIENTDISTINGUISHED
Provide histograms for lower division students and upper division students.Does not provide histograms.Multiple errors noted in the output.One to two errors noted in the output.Nearly flawless output.
Below the output, provide an accurate interpretation of histograms for lower division students and upper division students.Does not provide an interpretation.Multiple errors noted in the interpretation.One to two errors noted in the interpretation.Accurately interprets the histograms.
Provide a descriptive statistics table.Does not provide a descriptive statistics table.Multiple errors noted in the output.One to two errors noted in the output.Nearly flawless output.
Below the output, report descriptive statistics and interpret skew and kurtosis values.Does not provide descriptive statistics and/or interpret skew and kurtosis values.Multiple errors noted in the reporting of descriptive statistics and/or interpretation of skew and kurtosis.One to two errors noted in the reporting of descriptive statistics and/or interpretation of skew and kurtosis.Accurately reports descriptive statistics and accurately interprets skew and kurtosis.

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