The data set below on the left represents 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). Bond mutual funds 3.2 1.8 1.9 3.4 2.4 2.7 1.6 2.0 Stock mutual funds 9.4 7.6 9.1 7.4 8.4 7.2 8.1 6.9 (...) (a) 'mine the mean and standard deviation each data set. The mean of the data set for bond mutual funds (Type an integer or decimal rounded to three decimal places as needed.)

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### Understanding Data Sets in Mutual Funds

**Overview**

This educational module presents a comparison between the annual rates of return (in percent) for two types of mutual funds: bond mutual funds and stock mutual funds. The data presented has been randomly sampled from eight instances of each type of mutual fund.

#### Data Set

- **Bond Mutual Funds:**
  - 3.2, 1.9, 2.4, 1.6, 1.8, 3.4, 2.7, 2.0

- **Stock Mutual Funds:**
  - 9.4, 9.1, 8.4, 8.1, 7.6, 7.4, 7.2, 6.9

#### Tasks and Exercises

1. **Statistical Analysis:**
   - (a) *Determine the Mean and Standard Deviation of Each Data Set:*
     - Compute the mean for both the bond mutual funds and the stock mutual funds. Remember to round off your final answers to three decimal places.
     
     Example input format:
     - `The mean of the data set for bond mutual funds is [ ].`
     - (Type an integer or decimal rounded to three decimal places as needed).

#### Instructions

To accurately solve this exercise, consider the following steps:

- **Calculate the Mean:**
  - Add all the values in each data set and then divide by the number of values.
  
- **Calculate the Standard Deviation:**
  - For each value, subtract the mean and square the result.
  - Find the mean of these squared differences.
  - Take the square root of that mean to obtain the standard deviation.

This module's primary objective is to help you understand how to analyze and interpret the average performance (mean) and the variability (standard deviation) in returns on different types of mutual funds. 

Use the provided data to complete parts (a) through (d) and use your results comprehensively in part (e). Ensure that you perform each calculation carefully and round off your answers properly.
Transcribed Image Text:### Understanding Data Sets in Mutual Funds **Overview** This educational module presents a comparison between the annual rates of return (in percent) for two types of mutual funds: bond mutual funds and stock mutual funds. The data presented has been randomly sampled from eight instances of each type of mutual fund. #### Data Set - **Bond Mutual Funds:** - 3.2, 1.9, 2.4, 1.6, 1.8, 3.4, 2.7, 2.0 - **Stock Mutual Funds:** - 9.4, 9.1, 8.4, 8.1, 7.6, 7.4, 7.2, 6.9 #### Tasks and Exercises 1. **Statistical Analysis:** - (a) *Determine the Mean and Standard Deviation of Each Data Set:* - Compute the mean for both the bond mutual funds and the stock mutual funds. Remember to round off your final answers to three decimal places. Example input format: - `The mean of the data set for bond mutual funds is [ ].` - (Type an integer or decimal rounded to three decimal places as needed). #### Instructions To accurately solve this exercise, consider the following steps: - **Calculate the Mean:** - Add all the values in each data set and then divide by the number of values. - **Calculate the Standard Deviation:** - For each value, subtract the mean and square the result. - Find the mean of these squared differences. - Take the square root of that mean to obtain the standard deviation. This module's primary objective is to help you understand how to analyze and interpret the average performance (mean) and the variability (standard deviation) in returns on different types of mutual funds. Use the provided data to complete parts (a) through (d) and use your results comprehensively in part (e). Ensure that you perform each calculation carefully and round off your answers properly.
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