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Statistical Analysis: Grade Normality

The document analyzes descriptive statistics for equivalent grade data from a sample of students. It finds that the data is not normally distributed based on the Shapiro-Wilk test. It then reports the mean, standard deviation, skewness, and kurtosis of the equivalent grade data.

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Annalie Lobiano
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33 views1 page

Statistical Analysis: Grade Normality

The document analyzes descriptive statistics for equivalent grade data from a sample of students. It finds that the data is not normally distributed based on the Shapiro-Wilk test. It then reports the mean, standard deviation, skewness, and kurtosis of the equivalent grade data.

Uploaded by

Annalie Lobiano
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Results

Descriptives
Descriptives

Skewness Kurtosis Shapiro-Wilk

Mean SD Minimum Maximum Skewness SE Kurtosis SE W p

EQUIVALENT
87.6 1.73 82 92 -0.269 0.241 0.814 0.478 0.960 0.004
GRADE

Using the Shapiro-Wilk, the results showed that the data is not normal, W=.960, p=.004.
Note: Since the p (.004) < alpha (.05=5%), the data is not normal.

Plots
EQUIVALENT GRADE

The mean of the Equivalent Grade was 87.6 with a standard deviation of 1.73. The skewness and the kurtosis of the data were
-0.269 (SE=.241) and 0.814 (SE=.478). By Chebyshev's theorem with ±2 standard deviation, 75% or the greater majority of
the students with Equivalent Grade fall within 84.14 and 91.06. (This is acceptatble)
OR
This is not practical for the interpretation
The mean of the Equivalent Grade was 87.6 with a standard deviation of 1.73. The skewness and the kurtosis of the data were
-0.269 (SE=.241) and 0.814 (SE=.478). By Chebyshev's theorem with ±3 standard deviation, 89% or the greater majority of
the students with Equivalent Grade fall within 82.41 and 92.79.

References
[1] The jamovi project (2022). jamovi. (Version 2.3) [Computer Software]. Retrieved from https://www.jamovi.org.

[2] R Core Team (2021). R: A Language and environment for statistical computing. (Version 4.1) [Computer software]. Retrieved
from https://cran.r-project.org. (R packages retrieved from MRAN snapshot 2022-01-01).

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