Student A received the following course grades during her first year of college:
4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 0.
Student B received the following grades during her first year of college:
4, 4, 4, 4, 4, 4, 3, 1, 1, 1.
(a) Write down the relative frequency distribution tables for each student, and compute the population means and variances.
(b) Which student had the better grade point average? Student A or Student B?
Use the data below to answer the determine varianceand standard deviation. (note: carry your calculator out to 4 decimal places).
Year Actual Return Average Return Deviation for the Mean Squared Deviation
1 .12 .103 .017
Question: A portfolio is made up of 75% of stock 1, and 25% of stock 2. Stock 1 has a variance of .08, and stock 2 has a variance of .035. The covariance between the stocks is -.001. Calculate both the varianceand the standard deviation of the portfolio.
The percentage rates of home ownership for 8 randomly selected states are listed below. Estimate the population varianceand standard deviation for the percentage rate of home ownership with 99% confidence level.
66.0 75.8 70.9 73.9 63.4 68.5 73.3 65.9
I am attempting to confirm my calculations.
1. Calculate the mean for samples where:
a. n=10 sum of x=85 ?
b. n= 16 sum of x = 400 ?
c. n =45 sum of x =35 ?
d. n=18 sum of x =242 ?
2. Calculate the mean, median, and mode for each of the following samples:
a. 7, -2, 3, 3, 0, 4
b. 2, 3, 5, 3, 2, 3, 4, 3, 5, 1, 2, 3, 4
c. 51, 50, 47, 50, 48, 41, 59, 68, 45,
How may varianceand standard deviation be applied to a real-world business-related problem? Provide a specific application in which these measures are useful.
