The table below represents the college degrees awarded in a recent academic year
ID: 3148699 • Letter: T
Question
The table below represents the college degrees awarded in a recent academic year by gender.
Bachelor’s
Master’s
Doctorate
TOTAL
Men
573,079
211,381
24,341
808,801
Women
775,424
301,264
21,683
1,098,371
TOTAL
1,348,503
512,645
46,024
1,907,172
If a degrees is chosen at random, what is the probability that it is:
A bachelor’s degree?
A degree awarded to a woman?
A bachelor’s degree awarded to a man?
What is the absolute difference in the number of degrees awarded to men versus women? Explain your answer in a complete sentence.
What is the relative difference in the number of degrees awarded to men versus women? Explain your answer in a complete sentence.
Bachelor’s
Master’s
Doctorate
TOTAL
Men
573,079
211,381
24,341
808,801
Women
775,424
301,264
21,683
1,098,371
TOTAL
1,348,503
512,645
46,024
1,907,172
Explanation / Answer
P(Its a bachelor's degree) = No. of bachelor degrees/Total no. of degrees
= 1,348,503/1,907,172 = 0.7
P( A degree awarded to a woman ) = 1,098,371/1,907,172 = 0.575
P(A bachelor's degree awarded to a man) = 573,079/1,907,172 = 0.3
The absolute difference in the number of degrees awarded to man vs women = No of women degree holders - No of man degree holders = 1,098,371-808,801 = 289570
Relative difference in the number of degrees awarded to men vs women = (No of women degree holders - No of man degree holders)/ No of women degree holders = 289570/1,098,371 = 0.264
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.