PSY FPX 7864 Assessment 1 Descriptive Statistics

Student Name

Capella University

PSY FPX 7864 Quantitative Design and Analysis

Prof. Name

Date

Introduction

In the domain of data analysis, descriptive statistics serve as a cornerstone for summarizing datasets, whether they encompass an entire population or a subset therein. This analytical framework encompasses measures of central tendency, such as the mean, median, and mode, alongside measures of variability, including standard deviation, variance, and minimum and maximum variables, as well as kurtosis and skewness (Hayes, 2023). Histograms, which serve as visual depictions of frequency distributions for a single variable, aid in comprehending the distribution of dependent variables (What is a histogram chart, 2023).

Section 1: Histograms for Visual Interpretation

Distribution Plots

Within this section, two distinct histograms elucidate student scores categorized into various ranges. Each bar’s height corresponds to the count based on the final exam scores, providing a lucid representation of the measured information (What is a histogram chart, 2023).

Section 2: Calculate Measures of Central Tendency and Dispersion

Descriptive Statistics

The mean, often utilized to depict central tendency, denotes the average value for the GPA (M = 2.862) and Quiz 3 (M = 7.133) datasets. Standard deviation, offering a more precise estimate of dispersion, is crucial for understanding the spread of scores concerning the mean (Trochim, 2023). For GPA (SD = 0.713) and Quiz 3 (SD = 1.600), these values are presented. Skewness and kurtosis, which indicate the shape of the frequency distribution, fall within the acceptable range of -1 to +1, suggesting normality for each distribution (Quality Advisor, 2023).

PSY FPX 7864 Assessment 1 Descriptive Statistics

References

Hayes, A. (2023, March 21). Descriptive statistics: Definition, Overview, types, example. Investopedia. Retrieved April 27, 2023, from https://www.investopedia.com/terms/d/descriptive_statistics.asp

What is a histogram chart? TIBCO Software. (n.d.). Retrieved April 28, 2023, from https://www.tibco.com/reference-center/what-is-a-histogram-chart

Trochim, P. W. M. K. (n.d.). Descriptive statistics. Research Methods Knowledge Base. Retrieved April 28, 2023, from https://conjointly.com/kb/descriptive-statistics/

PSY FPX 7864 Assessment 1 Descriptive Statistics

Quality Advisor. Pqsystems.com. (n.d.). Retrieved April 28, 2023, from https://www.pqsystems.com/qualityadvisor/DataAnalysisTools/interpretation/histogram_stats.php