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Understanding Skewness and Kurtosis in Data Distributions, Exams of Nursing

University of Phoenix (UOPX)Nursing

A description of skewness and kurtosis, illustrating these concepts with distribution graphs based on data from a mean, median, and mode assignment. It includes two examples, with the first showing an approximately normal distribution with a sharper peak (leptokurtic kurtosis), and the second showing a negative skew and a wider peak (large kurtosis). The document also discusses the variability in these examples, comparing the spread of data and the spacing of minimum, median, and maximum values. This analysis helps in understanding data distribution shapes and their statistical properties, useful for interpreting statistical data.

Typology: Exams

2024/2025

Available from 08/13/2025

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Skewness !|! and !|! Kurtosis
Description !|! of !|! skewness !|! and !|! kurtosis !|! with !|! the !|! distribution !|! graph !|! using !|! the !|! data !|!
from !|! your !|! Wk !|! 3 !|! Mean, !|! Median, !|! and !|! Mode !|! assignment.
Distribution !|! graph !|! for !|! the !|! two !|! examples.
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Example 1
No. of persons
X(Income)
Using !|! the !|! data !|! from !|! example !|! 1 !|! appears !|! to !|! have !|! an !|! approximately !|!
normal !|! distribution !|! with !|! a !|! sharper !|! peak !|! than !|! example !|! 2. !|! The !|! Kurtosis !|!
can !|! be !|! termed !|! as !|! leptokurtic.
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Example 2
No. of persons
X(Income)
The !|! distribution !|! of !|! example !|! 2 !|! data !|! appears !|! to !|! have !|! a !|! negative !|! skew !|!
and !|! a !|! large !|! kurtosis. !|! The !|! peak !|! is !|! wider !|! than !|! that !|! of !|! example !|! 1 !|! data. !|!
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Download Understanding Skewness and Kurtosis in Data Distributions and more Exams Nursing in PDF only on Docsity!

Skewness !|! and !|! Kurtosis Description !|! of !|! skewness !|! and !|! kurtosis !|! with !|! the !|! distribution !|! graph !|! using !|! the !|! data !|! from !|! your !|! Wk !|! 3 !|! Mean, !|! Median, !|! and !|! Mode !|! assignment. Distribution !|! graph !|! for !|! the !|! two !|! examples. 180 200 250 280 300 350 0 5 10 15 20 25 30 35

Example 1

No. of persons X(Income) Using !|! the !|! data !|! from !|! example !|! 1 !|! appears !|! to !|! have !|! an !|! approximately !|! normal !|! distribution !|! with !|! a !|! sharper !|! peak !|! than !|! example !|! 2. !|! The !|! Kurtosis !|! can !|! be !|! termed !|! as !|! leptokurtic. 180 200 250 280 300 350 0 5 10 15 20 25 30 35

Example 2

No. of persons X(Income) The !|! distribution !|! of !|! example !|! 2 !|! data !|! appears !|! to !|! have !|! a !|! negative !|! skew !|! and !|! a !|! large !|! kurtosis. !|! The !|! peak !|! is !|! wider !|! than !|! that !|! of !|! example !|! 1 !|! data. !|!

Variability The !|! variability !|! of !|! the !|! 2 !|! examples !|! using !|! the !|! data !|! from !|! your !|! Wk !|! 3 !|! Mean !|! Median, !|! and !|! Mode. 150 200 250 300 350 400 0 1 2

Example 1

X(Income) Min Median Max Mean X(Income) 150 200 250 300 350 400 0 1 2

Example 2

X(Income) Min Median Max Mean X(Income) Data !|! from !|! example !|! 1 !|! appears !|! to !|! have !|! a !|! wide !|! spread !|! compared !|! to !|! that !|! of !|! example !|! 2. !|! The !|! maximum !|! and !|! minimum !|! values !|! in !|! example !|! 1 !|! data !|! are !|! widely !|! spaced !|! compared !|! to !|! example !|! 2 !|! data. !|! However, !|! the !|! minimum !|! and !|! the !|! median !|! values !|! of !|! both !|! distributions !|! are !|! equal. !|!