A 3809 E HT Find the mean and standard deviation of these heights. Round your answers to three decimal places, if necessary. Mean: Standard deviation: Fill in the table below to give grouped relative frequencies for these heights. Frequency Relative Frequency Frequency Group 60 63.9 64 67.9 68 71.9 72-75.9 76 79.9 20 15 10 5 1 60 64 68 72 numbers The graph above shows a frequency 76 80

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**Analyzing Heights Using Statistical Methods**

In this exercise, we are tasked with finding the mean and standard deviation of a set of heights. Ensure that your final answers are rounded to three decimal places.

### Mean and Standard Deviation
- **Mean:** [Input your answer here]
- **Standard Deviation:** [Input your answer here]

### Relative Frequency Table

You need to fill in the table below with the grouped relative frequencies for the specified height ranges:

| Group    | Frequency | Relative Frequency |
|----------|-----------|---------------------|
| 60 - 63.9 |           |                     |
| 64 - 67.9 |           |                     |
| 68 - 71.9 |           |                     |
| 72 - 75.9 |           |                     |
| 76 - 79.9 |           |                     |

### Histogram Analysis

A histogram is displayed above, representing the frequency of heights within different ranges. The x-axis is labeled "numbers," extending from 60 to 80, and the y-axis represents "frequency," ranging from 0 to 20.

- The histogram's tallest bar is between 72 and 75.9, signifying this range has the highest frequency of height occurrences.

**Discussion Point:**
- **Question:** Does the data set appear to be approximately normal based on the histogram?
- **Considerations:** Analyze the shape of the histogram to determine normality (bell-shaped and symmetric).

(Note: This question will be hand-graded. While the computer might flag your answer as "wrong," manual review ensures you receive credit for correct insights.)

This exercise encourages a comprehensive understanding of statistical analysis through real-world data interpretation.
Transcribed Image Text:**Analyzing Heights Using Statistical Methods** In this exercise, we are tasked with finding the mean and standard deviation of a set of heights. Ensure that your final answers are rounded to three decimal places. ### Mean and Standard Deviation - **Mean:** [Input your answer here] - **Standard Deviation:** [Input your answer here] ### Relative Frequency Table You need to fill in the table below with the grouped relative frequencies for the specified height ranges: | Group | Frequency | Relative Frequency | |----------|-----------|---------------------| | 60 - 63.9 | | | | 64 - 67.9 | | | | 68 - 71.9 | | | | 72 - 75.9 | | | | 76 - 79.9 | | | ### Histogram Analysis A histogram is displayed above, representing the frequency of heights within different ranges. The x-axis is labeled "numbers," extending from 60 to 80, and the y-axis represents "frequency," ranging from 0 to 20. - The histogram's tallest bar is between 72 and 75.9, signifying this range has the highest frequency of height occurrences. **Discussion Point:** - **Question:** Does the data set appear to be approximately normal based on the histogram? - **Considerations:** Analyze the shape of the histogram to determine normality (bell-shaped and symmetric). (Note: This question will be hand-graded. While the computer might flag your answer as "wrong," manual review ensures you receive credit for correct insights.) This exercise encourages a comprehensive understanding of statistical analysis through real-world data interpretation.
**Data Set 3**

|  74.6  |  72.1  |  79.1  |  74.7  |  76.0  |  70.0  |  75.7  |  69.5  |  74.0  |  68.6  |
|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|
|  73.3  |  71.9  |  61.6  |  73.9  |  72.8  |  72.7  |  60.0  |  79.9  |  68.5  |  75.5  |
|  70.0  |  76.2  |  67.0  |  66.8  |  67.5  |  79.4  |  72.0  |  75.6  |  61.3  |  71.2  |
|  74.2  |  71.6  |  73.9  |  70.8  |  74.5  |  60.4  |  72.0  |  73.8  |  73.9  |  65.4  |
|  71.7  |  70.4  |  73.7  |  70.4  |  69.4  |  75.8  |  76.0  |  78.2  |  77.4  |  75.1  |

The data set consists of a table containing numeric values arranged in a grid format with 5 rows and 10 columns. Each cell contains a floating-point number, demonstrating a potential range of observations or measurements which could represent data such as temperatures, scores, or other continuous values.
Transcribed Image Text:**Data Set 3** | 74.6 | 72.1 | 79.1 | 74.7 | 76.0 | 70.0 | 75.7 | 69.5 | 74.0 | 68.6 | |--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| | 73.3 | 71.9 | 61.6 | 73.9 | 72.8 | 72.7 | 60.0 | 79.9 | 68.5 | 75.5 | | 70.0 | 76.2 | 67.0 | 66.8 | 67.5 | 79.4 | 72.0 | 75.6 | 61.3 | 71.2 | | 74.2 | 71.6 | 73.9 | 70.8 | 74.5 | 60.4 | 72.0 | 73.8 | 73.9 | 65.4 | | 71.7 | 70.4 | 73.7 | 70.4 | 69.4 | 75.8 | 76.0 | 78.2 | 77.4 | 75.1 | The data set consists of a table containing numeric values arranged in a grid format with 5 rows and 10 columns. Each cell contains a floating-point number, demonstrating a potential range of observations or measurements which could represent data such as temperatures, scores, or other continuous values.
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