The data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set (a) Determine the mean and standard deviation of each data set. below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the table below to complete parts (a) through (d). Then complete part (e). The mean of the data set for bond mutual funds is. (Type an integer or decimal rounded to three decimal places as needed.) Bond mutual Stock mutual O funds funds The standard deviation of the data set for bond mutual funds is. 3.3 1.9 9.5 7.7 (Type an integer or decimal rounded to three decimal places as needed.) 2.0 3.5 9.2 7.5 The mean of the data set for stock mutual funds is. 2.5 2.8 8.5 7.3 (Type an integer or decimal rounded to three decimal places as needed.) 1.7 2.1 8.2 7.0 The standard deviation of the data set for stock mutual funds is (Type an integer or decimal rounded to three decimal places as needed.) (b) Based only on the standard deviation, have more spread. (c) What proportion of the bond mutual funds are within one standard deviation of the mean? (Type an integer or decimal rounded to three decimal places as needed.) What proportion of the stock mutual funds are within one standard deviation of the mean? (Type an integer or decimal rounded to three decimal places as needed.) (d) The coefficient of variation, CV, is defined as the ratio of the standard deviation to the mean of a data set. standard deviation CV = mean The CV allows for a comparison in spread by describing the amount of spread per unit mean. Compute the CV for both data sets. What is the CV of the data set for bond mutual funds? (Type an integer or decimal rounded to three decimal places as needed.) What is the CV of the data set for stock mutual funds?
The data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set (a) Determine the mean and standard deviation of each data set. below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the table below to complete parts (a) through (d). Then complete part (e). The mean of the data set for bond mutual funds is. (Type an integer or decimal rounded to three decimal places as needed.) Bond mutual Stock mutual O funds funds The standard deviation of the data set for bond mutual funds is. 3.3 1.9 9.5 7.7 (Type an integer or decimal rounded to three decimal places as needed.) 2.0 3.5 9.2 7.5 The mean of the data set for stock mutual funds is. 2.5 2.8 8.5 7.3 (Type an integer or decimal rounded to three decimal places as needed.) 1.7 2.1 8.2 7.0 The standard deviation of the data set for stock mutual funds is (Type an integer or decimal rounded to three decimal places as needed.) (b) Based only on the standard deviation, have more spread. (c) What proportion of the bond mutual funds are within one standard deviation of the mean? (Type an integer or decimal rounded to three decimal places as needed.) What proportion of the stock mutual funds are within one standard deviation of the mean? (Type an integer or decimal rounded to three decimal places as needed.) (d) The coefficient of variation, CV, is defined as the ratio of the standard deviation to the mean of a data set. standard deviation CV = mean The CV allows for a comparison in spread by describing the amount of spread per unit mean. Compute the CV for both data sets. What is the CV of the data set for bond mutual funds? (Type an integer or decimal rounded to three decimal places as needed.) What is the CV of the data set for stock mutual funds?
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Transcribed Image Text:The data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set (a) Determine the mean and standard deviation of each data set.
below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the
table below to complete parts (a) through (d). Then complete part (e).
The mean of the data set for bond mutual funds is.
(Type an integer or decimal rounded to three decimal places as needed.)
Bond mutual
Stock mutual O
funds
funds
The standard deviation of the data set for bond mutual funds is.
3.3
1.9
9.5
7.7
(Type an integer or decimal rounded to three decimal places as needed.)
2.0
3.5
9.2
7.5
The mean of the data set for stock mutual funds is.
2.5
2.8
8.5
7.3
(Type an integer or decimal rounded to three decimal places as needed.)
1.7
2.1
8.2
7.0
The standard deviation of the data set for stock mutual funds is
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Based only on the standard deviation,
have more spread.
(c) What proportion of the bond mutual funds are within one standard deviation of the mean?
(Type an integer or decimal rounded to three decimal places as needed.)
What proportion of the stock mutual funds are within one standard deviation of the mean?
(Type an integer or decimal rounded to three decimal places as needed.)
(d) The coefficient of variation, CV, is defined as the ratio of the standard deviation to the mean of a data set.
standard deviation
CV =
mean
The CV allows for a comparison in spread by describing the amount of spread per unit mean. Compute the CV for both data sets.
What is the CV of the data set for bond mutual funds?
(Type an integer or decimal rounded to three decimal places as needed.)
What is the CV of the data set for stock mutual funds?
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