Approximate the measures of center for following GFDT. Data Frequency 50 - 54 2 55 - 59 60 - 64 65 - 69 70 - 74 4 3 4 75 - 79 10 80 - 84 85 - 89 12 22 90 - 94 12 mode = median = mean = Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction). ONNN

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### Measures of Center for Grouped Frequency Distribution Table (GFDT)

To approximate the measures of center (mode, median, mean) for the given GFDT, we start by analyzing the provided data.

#### Data and Frequency Table:
This table shows the frequency of data points within each interval.

| Data   | Frequency |
|--------|-----------|
| 50 - 54|     2     |
| 55 - 59|     0     |
| 60 - 64|     4     |
| 65 - 69|     3     |
| 70 - 74|     4     |
| 75 - 79|    10     |
| 80 - 84|    12     |
| 85 - 89|    22     |
| 90 - 94|    12     |

#### Calculations:
- **Mode**: The mode is the data interval with the highest frequency.
  
  \(\text{mode} = \) 

- **Median**: The median is the middle value when the data points are arranged in order.
  
  \(\text{median} = \) 

- **Mean**: The mean is the sum of all data points divided by the number of data points.
  
  \(\text{mean} = \)

**Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction).**

**Note**: To find the median and mean, one may need to determine the class midpoints and apply the formulas for group data. Calculations for these can be elaborated upon in detailed lessons or worksheets.
Transcribed Image Text:### Measures of Center for Grouped Frequency Distribution Table (GFDT) To approximate the measures of center (mode, median, mean) for the given GFDT, we start by analyzing the provided data. #### Data and Frequency Table: This table shows the frequency of data points within each interval. | Data | Frequency | |--------|-----------| | 50 - 54| 2 | | 55 - 59| 0 | | 60 - 64| 4 | | 65 - 69| 3 | | 70 - 74| 4 | | 75 - 79| 10 | | 80 - 84| 12 | | 85 - 89| 22 | | 90 - 94| 12 | #### Calculations: - **Mode**: The mode is the data interval with the highest frequency. \(\text{mode} = \) - **Median**: The median is the middle value when the data points are arranged in order. \(\text{median} = \) - **Mean**: The mean is the sum of all data points divided by the number of data points. \(\text{mean} = \) **Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction).** **Note**: To find the median and mean, one may need to determine the class midpoints and apply the formulas for group data. Calculations for these can be elaborated upon in detailed lessons or worksheets.
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