Five years after graduating from college, Lucia Li feels that she is finally ready to invest some of her earnings. She has eliminated her credit card debt and has established an emergency fund. Her parents have been pleased with the performance of their mutual fund investments with Janus Capital Group. She has narrowed her search down to two mutual funds: The Janus Balanced Fund (JANBX): This “core” fund consists of stocks and bonds and its goal is diversification. It has historically produced solid long-term returns through different market cycles. The Janus Overseas Fund (JAOSX): This fund invests in overseas companies based on their individual merits instead of their geography or industry sector. The following table reports a portion of the annual returns (in percent) for these two funds from 2000–2016. Year    Balanced.   Overseas 2000-2.16-18.57 2001-5.04-23.11 2002-6.56-23.89 2003- 13.74-36.79 2004-8.71-18.58 2005-7.75-32.39 2006-10.56-47.21 2007-10.15-27.76 2008-15.22-52.75 2009-24.28-78.12 2010-7.83-19.28 2011-1.44-32.78 2012-13.07-12.42 2013-19.72-12.1 2014-8.46-13.72 2015-0.60-8.55 2016-4.51-6.91 In a report, use the sample information to 1. Calculate measures of central location to describe the similarities and the differences in these two funds’ returns. 2. Calculate measures of dispersion to assess the risk of each fund. 3. Calculate and interpret measures of correlation between the two funds.

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Five years after graduating from college, Lucia Li feels that she is finally ready to invest some of her earnings. She has eliminated her credit card debt and has established an emergency fund. Her parents have been pleased with the performance of their mutual fund investments with Janus Capital Group. She has narrowed her search down to two mutual funds: The Janus Balanced Fund (JANBX): This “core” fund consists of stocks and bonds and its goal is diversification. It has historically produced solid long-term returns through different market cycles. The Janus Overseas Fund (JAOSX): This fund invests in overseas companies based on their individual merits instead of their geography or industry sector. The following table reports a portion of the annual returns (in percent) for these two funds from 2000–2016.

Year    Balanced.   Overseas

2000-2.16-18.57

2001-5.04-23.11

2002-6.56-23.89

2003- 13.74-36.79

2004-8.71-18.58

2005-7.75-32.39

2006-10.56-47.21

2007-10.15-27.76

2008-15.22-52.75

2009-24.28-78.12

2010-7.83-19.28

2011-1.44-32.78

2012-13.07-12.42

2013-19.72-12.1

2014-8.46-13.72

2015-0.60-8.55

2016-4.51-6.91

In a report, use the sample information to

1. Calculate measures of central location to describe the similarities and the differences in these two funds’ returns.

2. Calculate measures of dispersion to assess the risk of each fund.

3. Calculate and interpret measures of correlation between the two funds.

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