Find the mean, median, and mode of the data: 0,100,25,25,25.Which outlier,0, 100, affects the data more?

Mean: 175/5 = 35.

Median: 0, 25, 25, 25, 100 - 25 is in the middle.

Mode: 25, it appears the most.

The outlier 100 affects the data, because the number 100 still farthest from the main cluster. (Sorry if this is wrong)

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.