SOLUTION: Hello! Please help me with this: In a sample of n = 6 scores, the smallest score is X = 3, the largest score is X = 10, and the mean is M = 6. If the largest score is changed fro

Question 1072437: Hello! Please help me with this:
In a sample of n = 6 scores, the smallest score is X = 3, the largest score is X = 10, and the mean is M = 6. If the largest score is changed from X = 10 to X = 22, then what is the value of the new mean?
Thank you.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
n = 6
smallest score is 3
largest score is 10
mean is 6

if the mean is 6 and there are 6 scores, then the total of all the scores has to be equal to 6 * 6 = 36

if you change the largest score from 10 to 22, then the total score is increased by 12 to become 48.

n remains at 6.

the mean is now 48 / 6 = 8

not sure what the smallest score has to do with it.

it does not appear to be a necessary factor in solving this problem.

RELATED QUESTIONS
Please help me solve this: A sample of n = 6 scores has a mean of M = 5. One person... (answered by rothauserc)

1)A sample of n = 10 scores has a mean of M = 9. One person with a score of X = 0 is... (answered by Boreal)

Hello, guys. I desperately need all your help please. I have been trying to do these... (answered by jim_thompson5910)

A sample of n = 10 scores has a mean of M = 7. One score in sample is changed from X = 21 (answered by ikleyn)

Hi. Please help me solve stats question Suppose scores on exams in statistics are... (answered by Theo)

Dear tutor, I have a problem reading normal distribution table that z scores is above... (answered by stanbon)

Please help me with this: An instructor believes that the average quiz score is a good (answered by Boreal)

Not sure if this is the right area, but could use some help. thank you for your time... (answered by stanbon)

A sample of n=9 scores has mean=13. A new score of x=4 is added to sample. a._______... (answered by Fombitz)