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RSCH FPX 7864 Assessment 1 Descriptive Statistics

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    RSCH FPX 7864 Assessment 1 Descriptive Statistics

    Student Name

    Capella University

    RSCH-FPX 7864 Quantitative Design and Analysis

    Prof. Name

    Date

    Introduction

    Descriptive statistics play a crucial role in summarizing datasets, whether they pertain to an entire population or a sample. This analytical approach encompasses measures of central tendency, such as mean, median, and mode, as well as measures of variability, including standard deviation, variance, minimum and maximum variables, kurtosis, and skewness (Hayes, 2023). Histograms, visual representations of frequency distributions for a single variable, assist in understanding the distribution of dependent variables (“What is a histogram chart?” 2023).

    Section 1: Histograms for Visual Interpretation

    Distribution Plots

     Final

     Lower Division

     Upper Division

    Within Section 1, two distinct histograms illustrate student scores categorized into various ranges. The height of each bar 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

    GPAQuiz3
    Mean2.8627.133
    Std. Dev.0.7131.600
    Skewness-0.220-0.078
    Std. Error of Skewness0.2360.236
    Kurtosis-0.6880.149
    Std. Error of Kurtosis0.4670.467

    The mean, often used to describe central tendency, indicates the average value for the GPA (M = 2.862) and Quiz 3 (M = 7.133) datasets. Standard deviation, providing a more precise estimate of dispersion, is crucial for understanding the spread of scores in relation to the mean (Trochim, 2023). For GPA (SD = 0.713) and Quiz 3 (SD = 1.600), these values are presented. Skewness and kurtosis, indicators of the frequency distribution shape, 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#:~:text=A%20histogram%20is%20a%20graph,to%20each%20of%20those%20bins.

    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#:~:text=There%20are%20several%20statistics%20which,using%20software%20such%20as%20SQCpack.

    RSCH FPX 7864 Assessment 1 Descriptive Statistics