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RSCH FPX 7864 Assessment 1 Descriptive Statistics

Name

Capella University

RSCH FPX 7864 Quantitative Design and Analysis

Prof. Name

Date

Introduction

Descriptive statistics are fundamental in summarizing data sets, whether representing an entire population or a sample subset. This analytical approach entails measures of central tendency like the mean, median, and mode, alongside Variability metrics like standard deviation, variance, range (minimum and maximum values), kurtosis, and skewness are utilized to gauge the spread or dispersion of data points (Hayes, 2023). Histograms, graphical representations showcasing the frequency distribution of individual variables, serve to visually grasp the distribution patterns of dependent variables (What is a histogram chart, 2023).

Section 1: Utilizing Histograms for Visual AnalysIS

Visualizing Data Distributions
Final
Introductory Level
Elevated Tier

80-85

80-82

83-85

85-90

86-88

89-90

90-95

91-92

93-95

95-100

96-97

98-100

In Section 1, there are two distinct histograms displaying student scores divided into different brackets. The vertical bars in each histogram represent the number of students falling into specific score intervals, offering a visually understandable depiction of the data gathered (Definition of a Histogram Chart, 2023).

Section 2: Compute Measures of Central Tendency and Variation

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

RSCH FPX 7864 Assessment 1 Descriptive Statistics

The mean, frequently employed to depict 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 vital for comprehending 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, representing the shape of the frequency distribution, fall within the acceptable range of -1 to +1, indicating 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/

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

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