Which of the following is NOT a property of the range?

Prepare for UofT's PSY201 Statistics I Midterm. Study with detailed flashcards and multiple choice questions, each complete with hints and explanations. Ace your exam!

The range, which measures the spread of a dataset, is defined as the difference between the highest and lowest values in that dataset. Its properties include being easy to calculate, as it simply requires identifying two numbers and subtracting them. The range is indeed sensitive to outliers; a single exceptionally high or low value can dramatically affect it.

However, the statement regarding the range taking all scores into consideration is not accurate. The range only depends on the extreme values in the dataset—the maximum and minimum—without regard to the values of any other data points in between. Therefore, the range does not provide a comprehensive view of all the scores, which is a key aspect that differentiates it from other measures of variability, like the variance or standard deviation, which do consider all scores in their calculations. This understanding clarifies why the notion that the range takes all scores into consideration is not a property of the range.

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