Question 1
The Following set of data is from a sample of n = 7: 12 7 4 9 0 7 3
a. compute the mean, median and mode.
b. compute the range, variance, standard deviation, and coefficient of variation.
c. compute the Z scores. Are there any outliers?
d. Describe the shape of the data set
Question 2
The following is set of data from a sample of n = 7: 12 7 4 9 0 7 3
a. compute the first quartile , the third quartile , and the interquartile range.
b.list the five number summary
c. construct a boxplot and describe its shape
Question 3
Consider a population of 1,024 mutual funds the primarily invest in large companies. You have determined that m, the mean one- year total percentage return achieved by all the funds , is 8.20 and that s, the standard deviation, is 2.75
a. According to the empirical rule, what percentage of these funds is expected to be within +/-1 standard deviation of the mean ?
b. According to the empirical rule, what percentage of these funds is expected to be within +/-2 standard deviations of the mean ?
c. According to Chebyshev's theorem, what percentage of these funds is expected to be within +/-1,+/-2,+/-3 standard devia-tions of the mean ?
d. According to Chebyshev's theorem, at least 93.75% of these funds are expected to have one-year total returns between what two amounts?
Question 4
The data set below contains the number of partners in cohort of rising accounting firms that have been tagged as " firms to watch ". The firms have the following numbers of partners:
16 21 27 11 33 20 30 27 31 15 21 20 28
34 23 17 19 13 16 13 21 17 10 19 10
10 20 25 11 14 13 16
a. Compute the mean, median and mode. Show all steps how you reach your answer, and just not stating the answers as shown in the excel print out
b. Compute the range, variance, standard deviation, and coefficient of variation, and the Z scores. Are there any outliers? Explain. Show all steps.
c Are the data skewed? if so, how? Explain
d. Based on the result of (a) Through (c), what conclusions can you reach concerning the numbering of partners in rising accounting firms? Explain