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Owner: mct17
Created: Nov 8, 2017
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Stats Project 1
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It is unknown the method used for obtaining the data, but it is most likely simple random sampling because the types of colleges are not even in frequency. 38 rows with missing data in certain columns were deleted. I used three variables.

The first variable is starting median salary. It is a quantitative variable. The data is shown in U.S. dollars. 

 

Summary statistics:

Column

n

Mean

Variance

Std. dev.

Std. err.

Median

       

 

Starting Median Salary

231

45825.108

37459715

6120.4342

402.695

44700

 

       

 The mean starting median salary for these colleges is $45,825.11 and the standard deviation is $6,120.43.

 Frequency table results for Starting Median Salary: 

Count = 231

Starting Median SalaryFrequencyRelative Frequency
30000 to 35000 1 0.0043290043
35000 to 40000 26 0.11255411
40000 to 45000 95 0.41125541
45000 to 50000 67 0.29004329
50000 to 55000 21 0.090909091
55000 to 60000 11 0.047619048
60000 to 65000 8 0.034632035
65000 to 70000 1 0.0043290043
70000 to 75000 1 0.0043290043

  The majority of starting median salaries are between $40,000 and $50,000 with a relative frequency of 41.13%. Between $30,000 and $35,000, $65,000 and $70,000, and $70,000 and  $75,000 there is only a frequency of one and a relative frequency of .43%. I used bins because there are a lot of unique data values. I did not use cumulative frequecny as there is no order to this data. 

 

The histogram shows that the majority of starting median salaries are between $40,000 and $45,000. Few schools are below $35,000 and $65,000. The histogram is unimodal and right skewed. The graph does not appear to be normal as it does not follow the shape of a normal curve and is skewed.

Summary statistics:

ColumnMedianMinMaxQ1Q3
Starting Median Salary 44700 34800 72200 41900 47800

 

The minimum starting median salary for these schools is $34,800 and the maximum is $72,200. The majority of salaries fall between $41,900 and $47,800. 

 

Upper Fence: 56,650

Lower Fence: 33,050

There are outliers

 

 

 

There is a 44.96% chance that the starting median salary for a college is greater than or equal to $46,600.

There is a 23.095% chance that the starting median salary for a college is between $42,500 and $46,200.

Variable 2: Mid-Career Median Salaries

This is a quantitative value.

 

 The average mid-career median salary is 82666.234 dollars and the standard deviation is 14016.294 dollars. 

 

These results were binned as there are several unique data values. The majority of mid-career salaries are between $80,000 and $100,000. There are also several values between $60,000 and $80,000. Few arre above $120,000 and below $60,000.

I did not include cumulative frequencies because there is no orderto these data values. 

 

The graph is boimodal and somewhat normal as there is no significant skewness. The majority of the data falls between $65,000 and $85,000.

 

The minimum mid-career median salary is $43,900 and the maximum salary is $134,000. The median mid-career salary is $81,300. 50% of the salaries fall between $73,000 and $87,900. 

 

 

Upper Fence: 110,250

Lower Fence: 50,650

There are outliers

 

 

There is a 2.56% chance that a college will have a mid-career median salary greater than $110,000. 

 

There is a .26% chance that a college will have a mid-career median salary between $35,800 and $44,100. 

Variable 3: School Type

This variable is qualitative. 

 

The majority of the colleges are state with only 8 Ivy Leauge schools. 75.76% of the sampled schools are state colleges.  The data is not binned because there only a few categories. Cumulative frequencies are not included because there is no order to the data. 

 

About three quarters (75.76%) of the sample schools are state. 6.49% are engineering schools. 3.46% are Ivy league. 6.06% are liberal arts and 8.23% are party. 

 

 

Result 1: Histogram   [Info]
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Result 2: Boxplot 1   [Info]
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Result 3: IQR   [Info]
Summary statistics:
ColumnIQR
Starting Median Salary5900

Result 4: Normal Calculator 1.000   [Info]
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Result 5: Normal Calculator 2   [Info]
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Result 6: Summary Stats 2   [Info]
Summary statistics:
ColumnnMeanStd. dev.
Mid-Career Median Salary23182666.23414016.294

Result 7: Frequency Table 2   [Info]
Frequency table results for Mid-Career Median Salary:
Count = 231
Mid-Career Median SalaryFrequencyRelative Frequency
40000 to 6000050.021645022
60000 to 800001000.43290043
80000 to 1000001020.44155844
100000 to 120000180.077922078
120000 to 14000060.025974026

Result 8: Histogram dv 2   [Info]
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Result 9: Summary Stats dv 2   [Info]
Summary statistics:
ColumnMedianMinMaxQ1Q3
Mid-Career Median Salary81300439001340007300087900

Result 10: Boxplot dv 2   [Info]
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Result 11: IQR dv 2   [Info]
Summary statistics:
ColumnIQR
Mid-Career Median Salary14900

Result 12: Normal Calculator dv 2   [Info]
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Result 13: Normal Calculator dv 2 #2   [Info]
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Result 14: Frequency Table dv 3   [Info]
Frequency table results for School Type:
Count = 231
School TypeFrequencyRelative Frequency
Engineering150.064935065
Ivy League80.034632035
Liberal Arts140.060606061
Party190.082251082
State1750.75757576

Result 15: Pie Chart With Data   [Info]
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Data set 1. Starting and mid-career salaries for colleges by t   [Info]
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Data set 2. data set 2.0   [Info]
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Data set 3. outliers 2   [Info]
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HTML link:
<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=72493">Stats Project 1</A>

Comments
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By xg15
Nov 8, 2017

Need to claim the level of meausrement for all the variables. A brief introduction for the data will be better for understanding the background. Excellent Report.

Always Learning