Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.​

Actual Mean = 43

Step-by-step explanation:

Given Mean = 38

No of observations = 9

we know,

Mean = Sum / N

38 = Sum/ 9

Sum = 38 x 9 = 342

Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.

New sum = 342 - 27 = 315 again, 315 + 72 = 387

The no. of observations stays the same.

Actual mean = New Sum / N

= 387/9

=43

Step-by-step explanation:

arithmetic mean =38

n=9

mean=sum/n

sum=mean×n=38×9=342

mistakenly observation 27 is taken instead of 72

new sum becomes =342+72-27=387

now

new mean =new sum/n=387/9=43

the actual mean of the data is 43.

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:

24 units

step-by-step explanation: