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Understanding the percentile rank is crucial for data analysis. The percentile rank tells you the relative standing of a particular data point within a dataset.
It represents the percentage of data points that are equal to or less than a given value. For example, if a data point is at the 86th percentile, it means that 86% of the data points are below or equal to this value.
This helps in comparing an individual data point against the entire dataset. Percentile ranks are widely used in various fields such as education, healthcare, and finance to understand the distribution and relative performance within datasets.

Data analysis involves systematically applying statistical and logical techniques to describe and evaluate data. It helps in discovering useful information, drawing conclusions, and supporting decision-making processes.
In this exercise, understanding and interpreting percentiles is an essential part of data analysis. By calculating the percentile rank, we can place our given data speed of 13.0 Mbps into the context of the overall dataset.
This makes it easier to understand how the given speed compares to other speeds. Before calculating the percentile, ensure that the data is clean and accurate; this includes checking for outliers and validating its source.
Accurate data analysis allows us to make reliable predictions and informed decisions based on empirical evidence.

Ordered data is a critical step in calculating percentiles. In this exercise, the data speeds are already arranged in ascending order. Ordering data simplifies the process of locating the desired data point.
When data is in order, it makes it easier to count the number of data points that fall below or above a particular value. This count is essential for finding the percentile rank.
For instance, to find the percentile rank of 13.0 Mbps, we can effortlessly count the number of data points less than 13.0 Mbps in an ordered list. Ensuring the data is ordered eliminates confusion and reduces errors in later steps.
Always remember to sort your data before proceeding with any percentile calculations.

The percentile formula is straightforward but powerful. The formula used in this exercise is:
\( P = \frac{L}{N} \times 100 \)
where:
- \( P \) = Percentile
- \( L \) = Number of values less than the given data point
- \( N \) = Total number of data points
To find the percentile for a data point, count how many data points are less than the given value. Divide this count by the total number of data points in the dataset. Finally, multiply by 100 to get the percentile rank.
Applying this formula to our data speed of 13.0 Mbps:
\( P = \frac{43}{50} \times 100 = 86 \)
Therefore, 13.0 Mbps is at the 86th percentile, meaning it surpasses 86% of the data points.