Use the frequency table that you constructed in question number 3 to find the percentile rank. What is the percentile rank of Age of 45 (Use a formula and show all calculations). Round up to two numbers after the decimal point in percentile rank.

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Use the frequency table that you constructed in question number 3 to find the percentile rank.

What is the percentile rank of Age of 45 (Use a formula and show all calculations). Round up to two numbers after the decimal point in percentile rank.

**Age Distribution Table**

This table presents the frequency distribution of different age groups along with their relative frequencies and cumulative frequencies.

| Age Range | Frequency (f) | Relative Frequency (rf) | Cumulative Frequency (cf) |
|-----------|---------------|-------------------------|---------------------------|
| 74-93     | 5             | (5/27) = 0.185          | 27                        |
| 54-73     | 7             | (7/27) = 0.259          | 22                        |
| 34-53     | 5             | (5/27) = 0.185          | 15                        |
| 14-33     | 10            | (10/27) = 0.370         | 10                        |
| Total     | 27            |                         |                           |

### Explanation

- **Age Range**: The intervals into which ages are grouped.
- **Frequency (f)**: The number of observations for each age range.
- **Relative Frequency (rf)**: The proportion of the total observations represented by each frequency, calculated by dividing the frequency by the total frequency and expressed as a decimal.
- **Cumulative Frequency (cf)**: The sum of the frequencies for all age groups up to and including the current one. This shows the accumulation of data moving from the youngest to the oldest age group. 

The total count of observations across all age groups is 27. This data helps in understanding the age distribution within a given sample population.
Transcribed Image Text:**Age Distribution Table** This table presents the frequency distribution of different age groups along with their relative frequencies and cumulative frequencies. | Age Range | Frequency (f) | Relative Frequency (rf) | Cumulative Frequency (cf) | |-----------|---------------|-------------------------|---------------------------| | 74-93 | 5 | (5/27) = 0.185 | 27 | | 54-73 | 7 | (7/27) = 0.259 | 22 | | 34-53 | 5 | (5/27) = 0.185 | 15 | | 14-33 | 10 | (10/27) = 0.370 | 10 | | Total | 27 | | | ### Explanation - **Age Range**: The intervals into which ages are grouped. - **Frequency (f)**: The number of observations for each age range. - **Relative Frequency (rf)**: The proportion of the total observations represented by each frequency, calculated by dividing the frequency by the total frequency and expressed as a decimal. - **Cumulative Frequency (cf)**: The sum of the frequencies for all age groups up to and including the current one. This shows the accumulation of data moving from the youngest to the oldest age group. The total count of observations across all age groups is 27. This data helps in understanding the age distribution within a given sample population.
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