Coefficient of variation and the Interquartile Range

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Reference no: EM133116404

Data Analysis - Describing Data

International education is a significant industry globally with many companies devoted to supported to helping international students enter degree programs overseas. Data on 500 international students has been collected to provide information on those factors which affect the Chance of Admission for Indian students seeking to enter a Masters degree in the United States. Data in the associated Excel file is provided on several variables including:

- Chance of Admission
- GRE Score - an admissions test which provides a score between 260 and 340.
- TOEFL - an English language test score out of 120
- University Rating - 1 to 5 with 1 highest rating
- CGPA - Cumulative Grade Point Average out of 10
- Gender

a) Considering only a Chance of Admission data, choose and construct an appropriate graph to display the data.

i. Why is this graph appropriate?

ii. What does the graph tell you about typical scores, spread, and shape of the data?

b) Use the Descriptive Statistics function in Excel to generate common statistics.
i. What are the mean, median, and mode for this data.

ii. Which is most appropriate in describing this set of data and why?

iii. Are they consistent with the Graph in part a?

c) Calculate the standard deviation, the coefficient of variation and the Interquartile Range.

i. What does this tell you about the overall spread of the data?

d) Construct a Box and Whisker Plot.
i. Are there any outliers?
ii. Add labels to the graph. Are they consistent with the earlier questions.

e) Use a Pivot Table to calculate the average CGPA for Males and Females.
i. What can you say about comparative performance based on this result.
ii. Add University rating to the pivot table. Use the pivot table to find average CGPA of Males and Females by university rating. Which rating universities do females perform best in? (Check: Ave CGPA for females in rating 5 universities is 8.889)
iii. What do you notice about CGPA compared to university rating. What does this imply about higher rated universities?

f) Graph the relationship between GRE score and TOEFL score. Adjust the axes on the graph to help demonstrate the relationship.

i. From the graph what would you say about how closely related the two variables are.
ii. Calculate the appropriate statistic to determine the strength and direction of the relationship between them and interpret it.

Attachment:- THA 1.rar

Reference no: EM133116404

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