PSY FPX 7864 Assessment 1 Descriptive Statistics
Phillip April 23, 2024 No Comments

PSY FPX 7864 Assessment 1 Descriptive Statistics

PSY FPX 7864 Assessment 1 Descriptive Statistics

Name

Capella university

PSY FPX 7864 Quantitative Design and Analysis

Prof. Name

Date

Introduction

In the realm of data analysis, descriptive statistics play a pivotal role in summarizing datasets, whether they encapsulate an entire population or a subset thereof. 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 are visual representations 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 illustrate student scores categorized into various ranges. Each bar’s height corresponds to the count based on the final exam scores, providing a clear representation of the measured information (What is a histogram chart, 2023).

Section 2: Calculate Measures of Central Tendency and Dispersion

Descriptive Statistics

GPA

Quiz3

Mean 2.862 7.133
Std. Dev. 0.713 1.600
Skewness -0.220 -0.078
Std. Error of Skewness 0.236 0.236
Kurtosis -0.688 0.149
Std. Error of Kurtosis 0.467 0.467

PSY FPX 7864 Assessment 1 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).

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

PSY FPX 7864 Assessment 1 Descriptive Statistics

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

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