Which statement about the range is true?

Which statement about the range is true?

• A. It is not influenced by extreme values.
• B. It uses all data values to compute the average.
• C. It can be greatly influenced by extreme values.
• D. It measures central tendency.

Answer: (C)

The range is a measure of spread that looks at how far apart the smallest and largest values are. It can be greatly influenced by extreme values because it depends only on those end points (the minimum and maximum). If you add an outlier or remove one, the range can change dramatically, even if most of the data stay the same. For example, with values 2, 3, 4, 5 the range is 3, but if you add an extreme value like 100, the range jumps to 98. This isn’t about computing an average or describing a typical value, so it does not rely on all data values to compute an average, and it doesn’t measure central tendency.

The range is a measure of spread that looks at how far apart the smallest and largest values are. It can be greatly influenced by extreme values because it depends only on those end points (the minimum and maximum). If you add an outlier or remove one, the range can change dramatically, even if most of the data stay the same. For example, with values 2, 3, 4, 5 the range is 3, but if you add an extreme value like 100, the range jumps to 98.

This isn’t about computing an average or describing a typical value, so it does not rely on all data values to compute an average, and it doesn’t measure central tendency.