What is the standard deviation for n

Question

Discuss the following problems:

Q1. Consider the following scores comprising a population of size N = 14

X	F
14	1
13	2
12	4
11	3
10	2
9	2

A. What is the mean for these N = 14 scores?

B. What is the mode for these N = 14 scores?

C. What is the standard deviation for these N = 14 scores?

Q2. Using a mean of 7.55 and a standard deviation of 1.86, convert the following values of X into z-scores:

A. X = 10.48, z =

B. X = 3.17, z =

C. X = 8.41, z =

D. X = 5.62, z =

Q3. Assuming a mean of 7.55 and a standard deviation of 1.86, what is the probability that:

A. p(X > 10.48)

B. p(X < 3.17)

C.  p(X < 8.41)

D.  p(X > 5.62)

Q4. Assuming a normal distribution, what values of z corresponds to the following percentiles?

A.75^th

B. ^25TH

C. ^40TH

D. 60^TH

E. 50^TH