Describe an algorithm that produces the maximum, me- dian, mean, and minimum of a set of three integers. (the median of a set of integers is the middle element in the list when these integers are listed in order of increasing size. the mean of a set of integers is the sum of the integers divided by the number of integers in the set.)

Answer

The mean of three numbers x1,x2,x3 can be obtained by a calculus. The first step of the algorithm is

1)

In order to obtain the median, maximun and minumun of x1, x2 and x3, we can compare x1 and x2. The smaller of those numbers will be compared to x3 and, if x3 is even smaller, then x3 is the minimun, the other small number is the median, and the remaining number is the maximun. Otherwise, we compare x3 with the bigger number to find median and maximun. To summarize:

2) compare x1 with x2. The bigger of the two numbers will be called 's' (for  small) and the smaller will be called 'b' (from big).

3) compare x3 with s. The smaller of this subset will be the minimun of the entire set of 3 elements.

4) Check if x3 is the minimun, in that case, s is the median, because s is between x3 and b. We also conclude that b is the maximun

5) if x3 in not the minimun, then compare it with b. The bigger element between the two of them will be the maximun of the set, and the smaller one will be the median.

I hope it helps you!

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows: