Distance between the first and third quartiles in a distribution is known as what?

Distance between the first and third quartiles in a distribution is known as what?

• A. Interquartile range
• B. Dispersion
• C. Degrees of freedom
• D. Central tendency

Answer: (A)

The distance between the first and third quartiles is called the interquartile range. It measures dispersion, specifically the spread of the middle half of the data—from the 25th percentile to the 75th percentile. This statistic is useful because it focuses on central values and is less affected by extreme outliers, since the extremes lie outside the middle 50% of the data. While dispersion is the general idea of how spread out a dataset is, the interquartile range is the precise measure used to quantify that spread for the central portion of the data. Degrees of freedom relate to how many independent pieces of information are available for estimating a parameter, not to how data are spread. Central tendency, on the other hand, describes the center of the distribution (like the mean or median), not its spread.

The distance between the first and third quartiles is called the interquartile range. It measures dispersion, specifically the spread of the middle half of the data—from the 25th percentile to the 75th percentile. This statistic is useful because it focuses on central values and is less affected by extreme outliers, since the extremes lie outside the middle 50% of the data. While dispersion is the general idea of how spread out a dataset is, the interquartile range is the precise measure used to quantify that spread for the central portion of the data. Degrees of freedom relate to how many independent pieces of information are available for estimating a parameter, not to how data are spread. Central tendency, on the other hand, describes the center of the distribution (like the mean or median), not its spread.