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 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). (a) Determine the mean and standard deviation of each data set. The mean of the data set for bond mutual funds is 2.575 (Type an integer or decimal rounded to three decimal places as needed.) Bond mutual Stock mutual D The standard deviation of the data set for bond mutual funds is 0.669 funds funds (Type an integer or decimal rounded to three decimal places as needed.) 3.4 2.0 9.6 7.8 The mean of the data set for stock mutual funds is 8.213 2.1 3.6 93 7.6 Per 2.6 2.9 (Type an integer or decimal rounded to three decimal places as needed.) 8.6 74 1.8 2.2 83 7.1 The standard deviation of the data set for stock mutual funds is 0.903 Qu (Type an integer or decimal rounded to three decimal places as needed.) 1) (b) Based only on the standard deviation, stock mutual funds have more spread. 50 (c) What proportion of the bond mutual funds are within one standard deviation of the mean? 1) 0/1 (Type an integer or decimal rounded to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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 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).
(a) Determine the mean and standard deviation of each data set.
The mean of the data set for bond mutual funds is 2.575
(Type an integer or decimal rounded to three decimal places as needed.)
Bond mutual
Stock mutual D
The standard deviation of the data set for bond mutual funds is 0.669
funds
funds
(Type an integer or decimal rounded to three decimal places as needed.)
3.4
2.0
9.6
7.8
The mean of the data set for stock mutual funds is 8.213
2.1
3.6
93
7.6
Per
2.6
2.9
(Type an integer or decimal rounded to three decimal places as needed.)
8.6
74
1.8
2.2
83
7.1
The standard deviation of the data set for stock mutual funds is 0.903
Qu
(Type an integer or decimal rounded to three decimal places as needed.)
(b) Based only on the standard deviation, stock mutual funds have more
1)
spread.
50
(c) What proportion of the bond mutual funds are within one standard
deviation of the mean?
1)
0/1
(Type an integer or decimal rounded to three decimal places as needed.)
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 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). (a) Determine the mean and standard deviation of each data set. The mean of the data set for bond mutual funds is 2.575 (Type an integer or decimal rounded to three decimal places as needed.) Bond mutual Stock mutual D The standard deviation of the data set for bond mutual funds is 0.669 funds funds (Type an integer or decimal rounded to three decimal places as needed.) 3.4 2.0 9.6 7.8 The mean of the data set for stock mutual funds is 8.213 2.1 3.6 93 7.6 Per 2.6 2.9 (Type an integer or decimal rounded to three decimal places as needed.) 8.6 74 1.8 2.2 83 7.1 The standard deviation of the data set for stock mutual funds is 0.903 Qu (Type an integer or decimal rounded to three decimal places as needed.) (b) Based only on the standard deviation, stock mutual funds have more 1) spread. 50 (c) What proportion of the bond mutual funds are within one standard deviation of the mean? 1) 0/1 (Type an integer or decimal rounded to three decimal places as needed.)
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