Given a random sample with a mean of 5.2, median of 6, and mode of 4, which statement is correct?

The statement indicating that the 50th percentile of the data is 6 is correct because the 50th percentile corresponds to the median in a dataset. The median is defined as the middle value when the data is arranged in ascending order, meaning that 50% of the data lies below it and 50% lies above it.

In the given scenario, the median is explicitly stated as 6, clearly identifying it as the value that separates the higher half from the lower half of the dataset. This supports the conclusion that the 50th percentile is indeed 6, signifying that half of the observations fall at or below this value.

Understanding the relationship between the median and percentiles is crucial in statistical analysis, as it helps in summarizing and describing the distribution of data. The other statements regarding the sum of measurements, the percentage of data below a specific mean, and frequency do not necessarily relate directly to the median and are less relevant in establishing the information regarding the median's position in the dataset.