Body weight expressed as a percentage of ideal. Body weights of 18 diabetics expressed as a
percentage of ideal (defined as body weight ÷ ideal body weight × 100) are shown here. Construct a stemand-leaf plot of these data and interpret your findings.
107 119 99 114 120 104 88 114 124 116
101 121 152 100 125 114 95 117
8 : 8
9 : 59
10 : 0147
11 : 444679
12 : 0145
13 :
14:
15: 2

Spread: Information ranges
from 88 to 152.
 Shape: Shewed negatively
with the addition of a high
outlier.
 Location: Median is 114

 

Air samples. An environmental study looked at suspended particulate matter in air samples (µg/m3) at
two different sites. Data are listed here. Construct side-by-side stemplots to compare the two sites.
Site 1: 68 22 36 32 42 24 28 38
Site 2: 36 38 39 40 36 34 33 32
842 : 2 :
862 : 3 : 2346689
2 : 4 : 0
: 5 :
8 : 6 :

High outlier within site 1
 There is a greater spread of variability
displayed in site 1 over site 2
 There are overlapping of similar
locations sampled.

 

What would you report? A small data set (n = 9) has the following values {3.5, 8.1, 7.4, 4.0, 0.7, 4.9,
8.4, 7.0, 5.5}. Plot the data as a stemplot and then report an appropriate measure of central location and
spread for the data.
Variable: site 1
Decimal point is at the colon.
Leaf unit = 0.1
0 : 7
1 :
2 :
3 : 5
4 : 09
5 : 5
6 :
7 : 04
8 : 14

Central location: 5.5 (median)
Spread: Data ranges from 0.7 to 8.4

Sample solution

Dante Alighieri played a critical role in the literature world through his poem Divine Comedy that was written in the 14th century. The poem contains Inferno, Purgatorio, and Paradiso. The Inferno is a description of the nine circles of torment that are found on the earth. It depicts the realms of the people that have gone against the spiritual values and who, instead, have chosen bestial appetite, violence, or fraud and malice. The nine circles of hell are limbo, lust, gluttony, greed and wrath. Others are heresy, violence, fraud, and treachery. The purpose of this paper is to examine the Dante’s Inferno in the perspective of its portrayal of God’s image and the justification of hell. 

In this epic poem, God is portrayed as a super being guilty of multiple weaknesses including being egotistic, unjust, and hypocritical. Dante, in this poem, depicts God as being more human than divine by challenging God’s omnipotence. Additionally, the manner in which Dante describes Hell is in full contradiction to the morals of God as written in the Bible. When god arranges Hell to flatter Himself, He commits egotism, a sin that is common among human beings (Cheney, 2016). The weakness is depicted in Limbo and on the Gate of Hell where, for instance, God sends those who do not worship Him to Hell. This implies that failure to worship Him is a sin.

God is also depicted as lacking justice in His actions thus removing the godly image. The injustice is portrayed by the manner in which the sodomites and opportunists are treated. The opportunists are subjected to banner chasing in their lives after death followed by being stung by insects and maggots. They are known to having done neither good nor bad during their lifetimes and, therefore, justice could have demanded that they be granted a neutral punishment having lived a neutral life. The sodomites are also punished unfairly by God when Brunetto Lattini is condemned to hell despite being a good leader (Babor, T. F., McGovern, T., & Robaina, K. (2017). While he commited sodomy, God chooses to ignore all the other good deeds that Brunetto did.

Finally, God is also portrayed as being hypocritical in His actions, a sin that further diminishes His godliness and makes Him more human. A case in point is when God condemns the sin of egotism and goes ahead to commit it repeatedly. Proverbs 29:23 states that “arrogance will bring your downfall, but if you are humble, you will be respected.” When Slattery condemns Dante’s human state as being weak, doubtful, and limited, he is proving God’s hypocrisy because He is also human (Verdicchio, 2015). The actions of God in Hell as portrayed by Dante are inconsistent with the Biblical literature. Both Dante and God are prone to making mistakes, something common among human beings thus making God more human.

To wrap it up, Dante portrays God is more human since He commits the same sins that humans commit: egotism, hypocrisy, and injustice. Hell is justified as being a destination for victims of the mistakes committed by God. The Hell is presented as being a totally different place as compared to what is written about it in the Bible. As a result, reading through the text gives an image of God who is prone to the very mistakes common to humans thus ripping Him off His lofty status of divine and, instead, making Him a mere human. Whether or not Dante did it intentionally is subject to debate but one thing is clear in the poem: the misconstrued notion of God is revealed to future generations.

 

References

Babor, T. F., McGovern, T., & Robaina, K. (2017). Dante’s inferno: Seven deadly sins in scientific publishing and how to avoid them. Addiction Science: A Guide for the Perplexed, 267.

Cheney, L. D. G. (2016). Illustrations for Dante’s Inferno: A Comparative Study of Sandro Botticelli, Giovanni Stradano, and Federico Zuccaro. Cultural and Religious Studies4(8), 487.

Verdicchio, M. (2015). Irony and Desire in Dante’s” Inferno” 27. Italica, 285-297.

Sample Answer

Sample Answer

 

 

Analyzing Stem-and-Leaf Plots in Statistical Data

Stem-and-leaf plots are an effective way to visually represent data, providing insights into the distribution, spread, and central tendency of a dataset. In this essay, we will examine stem-and-leaf plots for three different sets of data and interpret the findings to gain a deeper understanding of the information they convey.

Body Weight Expressed as a Percentage of Ideal for Diabetics

The first dataset we explore is the body weights of 18 diabetics expressed as a percentage of their ideal weight. The stem-and-leaf plot for this data indicates a spread ranging from 88 to 152. The shape of the distribution is skewed negatively due to the presence of a high outlier at 152. The median body weight percentage is calculated to be 114. This suggests that most individuals in the sample are close to their ideal weight percentage, with a few outliers affecting the overall distribution.

Suspended Particulate Matter in Air Samples at Two Sites

Moving on to the analysis of suspended particulate matter in air samples at two different sites, we observe side-by-side stem plots for Site 1 and Site 2. Site 1 shows a high outlier, indicating variability in the data. Site 1 also exhibits a wider spread compared to Site 2. However, there are overlapping values between the two sites, suggesting similarities in the levels of suspended particulate matter at certain instances.

Small Data Set Analysis

Lastly, we examine a small dataset with values {3.5, 8.1, 7.4, 4.0, 0.7, 4.9, 8.4, 7.0, 5.5}. The stem-and-leaf plot for this dataset reveals a spread from 0.7 to 8.4. The central location is represented by the median value of 5.5. This indicates that the middle value in the dataset is 5.5. The spread of the data suggests that the values vary between the lowest and highest values observed in the dataset.

In conclusion, stem-and-leaf plots provide valuable insights into the distribution and characteristics of datasets. By analyzing these plots, we can identify trends, outliers, and central tendencies within the data, allowing for a more comprehensive understanding of the information being presented.

By delving into these examples and interpretations, we can appreciate the significance of stem-and-leaf plots as a tool for statistical analysis and visualization of data.

 

 

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