Final answer:
Quartiles divide data into four equal parts, and understanding the percentage of values within each range, such as at least 25% equal to one or between five and seven, is crucial for interpreting data distribution.
Step-by-step explanation:
Understanding Quartiles in a Data Set
When analyzing a data set, it's essential to grasp how the data is spread across different quartiles. Quartiles divide the data into four equal parts regarding the frequency of the values. In this context, certain percentages of the values fall within specific ranges, aiding in the interpretation of the data's distribution.
For instance, knowing that at least 25 percent of the values are equal to one provides insight into the minimum range of the data. It's also stated that twenty-five percent of the values are between one and five, inclusive, which places emphasis on the lower quartile of the data. The information that at least 25 percent of the values are equal to five, and that the top 25 percent of the values fall between five and seven, inclusive, helps determine the median and the upper quartile of the data set, respectively.
Different sets of numbers are given, which could represent various data points in different contexts, such as heights in meters (1.74, 1.75, etc.), financial figures in thousands (130,000, 125,000, etc.), or even a pattern of percentiles linked to performance indicators. Understanding how to arrange these numbers based on quartiles allows for a more in-depth analysis of the data.