PSY436 Grand Canyon Data Analysis and Standard Deviation Assignment

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PSY436

Grand Canyon University

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Data Analysis Given the following students' test scores (95, 92, 90, 90, 83, 83, 83, 74, 60, and 50), identify the mean, median, mode, range, variance, and standard deviation for the sample. Write a 500-750-word summary and analysis discussing the results of your calculations. State your results for the sample: the mean, median, mode, range, variance, and standard deviation 1.Explain which method is best for this data set. Why? 2.Conduct a one sample T-test and interpret the results (use a population mean of 70). 3.In what situations would this information be useful? Prepare this assignment according to the guidelines found in the APA Style Guide, located in the Student Success Center. An abstract is not required. This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion. You are required to submit this assignment to LopesWrite. Refer to the directions in the Student Success Center. Course Code PSY-452 Class Code PSY-452-O101 Criteria Content Percentage 70.0% Identify the mean, median, mode, range, variance, and standard deviation for the sample given. 20.0% Explain which method is best for the data set and why. 25.0% Interpret the results of the one sample T-test; what situations would this information be useful. 25.0% Organization and Effectiveness 20.0% Thesis Development and Purpose 8.0% Paragraph Development and Transitions 7.0% Mechanics of Writing (includes spelling, punctuation, grammar, language use) 5.0% Format 10.0% Paper Format (use of appropriate style for the major and assignment) 5.0% Documentation of Sources (citations, footnotes, references, bibliography, etc., as appropriate to assignment and style) 5.0% Total Weightage 100% Data Analysis Unsatisfactory (0.00%) Identification of the mean, median, mode, range, variance, and standard deviation for the sample given is missing. Explanation of which method is best for the data set and why is missing. Interpretation of results and what situations would the results be most useful are missing. Paper lacks any discernible overall purpose or organizing claim. Paragraphs and transitions consistently lack unity and coherence. No apparent connections between paragraphs are established. Transitions are inappropriate to purpose and scope. Organization is disjointed. Surface errors are pervasive enough that they impede communication of meaning. Inappropriate word choice and/or sentence construction are used. Template is not used appropriately, or documentation format is rarely followed correctly. Sources are not documented. 20.0 Less than Satisfactory (65.00%) Identification of the mean, median, mode, range, variance, and standard deviation for the sample given is vague and inconsistent. Explanation of which method is best for the data set and why is vague and inconsistent. Interpretation of results and what situations would the results be most useful are vague and inconsistent. Thesis and/or main claim are insufficiently developed and/or vague; purpose is not clear. Some paragraphs and transitions may lack logical progression of ideas, unity, coherence, and/or cohesiveness. Some degree of organization is evident. Frequent and repetitive mechanical errors distract the reader. Inconsistencies in language choice (register) and/or word choice are present. Sentence structure is correct but not varied. Appropriate template is used, but some elements are missing or mistaken. A lack of control with formatting is apparent. Documentation of sources is inconsistent or incorrect, as appropriate to assignment and style, with numerous formatting errors. Satisfactory (75.00%) Identification of the mean, median, mode, range, variance, and standard deviation for the sample given is present and appropriate. Explanation of which method is best for the data set and why is present and appropriate. Interpretation of results and what situations would the results be most useful are present and appropriate. Thesis and/or main claim are apparent and appropriate to purpose. Paragraphs are generally competent, but ideas may show some inconsistency in organization and/or in their relationships to each other. Some mechanical errors or typos are present, but are not overly distracting to the reader. Correct and varied sentence structure and audience-appropriate language are employed. Appropriate template is used. Formatting is correct, although some minor errors may be present. Sources are documented, as appropriate to assignment and style, although some formatting errors may be present. Good (85.00%) Identification of the mean, median, mode, range, variance, and standard deviation for the sample given is present and makes some connections to research. Explanation of which method is best for the data set and why is present and makes some connections to research. Interpretation of results and what situations would the results be most useful are present and makes some connections to research. Thesis and/or main claim are clear and forecast the development of the paper. It is descriptive and reflective of the arguments and appropriate to the purpose. A logical progression of ideas between paragraphs is apparent. Paragraphs exhibit a unity, coherence, and cohesiveness. Topic sentences and concluding remarks are appropriate to purpose. Prose is largely free of mechanical errors, although a few may be present. The writer uses a variety of effective sentence structures and figures of speech. Appropriate template is fully used. There are virtually no errors in formatting style. Sources are documented, as appropriate to assignment and style, and format is mostly correct. Excellent (100.00%) Identification of the mean, median, mode, range, variance, and standard deviation for the sample given is thorough and makes connections to current research. Explanation of which method is best for the data set and why is concise and well-research; makes connections to current research. Interpretation of results and what situations would the results be most useful are thorough and well-researched; makes connections to current research. Thesis and/or main claim are comprehensive; contained within the thesis is the essence of the paper. Thesis statement makes the purpose of the paper clear. There is a sophisticated construction of paragraphs and transitions. Ideas progress and relate to each other. Paragraph and transition construction guide the reader. Paragraph structure is seamless. Writer is clearly in command of standard, written, academic English. Comments All format elements are correct. Sources are completely and correctly documented, as appropriate to assignment and style, and format is free of error. Points Earned
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Running head: DATA ANALYSIS

1

Data Analysis
Student’s Name:
Institutional Affiliation:

2

DATA ANALYSIS
Data Analysis
Mean=Total/N; 800/10 = 80
Median= (83 +83)/2 =83
Mode= 83
Range=95 – 50 = 45
Variance=
X

X - x̅

(X - x̅)2

(X - x̅)2 /N

95

15

225

22.5

92

12

144

14.4

90

10

100

10

90

10

100

10

83

3

9

0.9

83

3

9

0.9

83

3

9

0.9

74

-6

36

3.6

60

-20

400

40

50

-30

900

90

variance

193.2

Total

Standard deviation= √variance
= √193.2
=18.89
The best method for the data set is the mean.

DATA ANALYSIS

3

The mean refers to the average value of the data provided. It entails adding all the values
and diving by their number. In the above case the mean is 80, which suggests that generally, each
student scored 80 marks. Unfortunately, the method ignores extreme values, as it equates both
high and low values. The approach’s advantage is that computing is easy. Unfortunately, it is
highly influenced by values that vary intensely, making it give a false reflection of the data.
However, it is not affected by variations in data and considers all values in a set of data. The
mean can only be determined from computing, making it possible to realize errors in its
calculation, as opposed to obtaining the median and the mode.
The median is the number that occurs in the middle of a series of data. In the provided
case, it is 83. The median provides a measure of central tendency after data is arranged in an
ascending or descending order. It enables one to guess the extent of values on either side as they
should be generally e...


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