Final answer:
To find the percentile corresponding to the data speed of 1.5 Mbps, one must organize the data set, count how many data points are below or equal to the speed, and then calculate the percentile rank using the formula P = (k/n) × 100%, where k is the count of data points ≤ 1.5 Mbps and n is the total number of data points.
Step-by-step explanation:
To determine the percentile of a data speed of 1.5 Mbps, we would need to have the complete dataset for the cell phone airport data speeds. Ordinarily, the percentile rank of a score is the percentage of scores in its frequency distribution that are equal to or lower than it. Assuming you have the entire data set for the speeds, you would follow these steps:
- First, organize the dataset in ascending order.
- Then, count how many data points are at or below the data speed of interest, which in this case is 1.5 Mbps.
- Next, divide the count obtained in step 2 by the total number of data points in the dataset.
- Multiply the resulting fraction by 100 to get the percentile rank.
If there are n total data points and k of them are at or below 1.5 Mbps, the percentile rank P is calculated by the formula: P = (k/n) × 100%.
To find the specific percentile for 1.5 Mbps with the provided data speeds, you would need to apply the formula using the actual numbers from the dataset.