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Salaries of bachelor鈥檚 degree graduates. PayScale, Inc., an online provider of global compensation data, conducts an annual salary survey of bachelor鈥檚 degree graduates. Three of the many variables measured by PayScale are the graduate鈥檚 current salary, mid-career salary, and the college or university where they obtained their degree. Descriptive statistics are provided for each of the over 400 colleges and universities that graduates attended. For example, graduates of the University of South Florida (USF) had a mean current salary of \(57,000, a median mid-career salary of \)48,000, and a mid-career 90th percentile salary of $131,000. Describe the salary distribution of USF bachelor鈥檚 degree graduates by interpreting each of these summary statistics.

Short Answer

Expert verified

The average current salary is $57,000; half of the graduates get less than $48,000, and another half get more than $48,000. Also, 10 percent of graduates get above $131,000.

Step by step solution

01

Elucidating descriptive statistics

Whenever a researcher generates descriptive statistics, the researcher mainly finds different measurements that summarize a long dataset.The measurements mainly include mean, variance, standard deviation, median, and others.

02

Interpreting the summary statistics

The word, 鈥渕ean鈥 signifies average, and so $57,000 is the average salary of the graduates passed out from the University of South Florida. As the median is $48,000, it means that half of the total number of graduates are earning less than $48,000, and the other half are earning more than $48,000. Also, 90 percent of the graduates earn below $131,000, which means10 percent earn more than $131,000.

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Construct a relative frequency histogram for the data summarized in the accompanying table.

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厂础罢鈥揗补迟丑

厂础罢鈥揤别谤产补濒

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Standard deviation of score changes

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a.Suppose one of the 265 students who paid a private tutor is selected at random. Give an interval that is likely to contain this student鈥檚 change in the 厂础罢鈥揗补迟丑 score.

b.Repeat part afor the 厂础罢鈥揤别谤产补濒 score.

c.Suppose the selected student increased his score on one of the SAT tests by 140 points. Which test, the SAT鈥 Math or 厂础罢鈥揤别谤产补濒, is the one most likely to have the 140-point increase? Explain.

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