The Range and Standard Deviation of the Data Set Below $5,24,25,26,40$

question 121

Essay

The range and standard deviation of the data set below are 35 and 12.47 respectively. $5,24,25,26,40$ If the 26 is replaced with 39, how will this affect the range? How will this affect the standard deviation. Use your answers to explain why the standard deviation is preferable to the range as a measure of variation.

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Definitions:

Thrust Faulting

A type of faulting caused by compressional forces where older layers of rock are pushed up and over younger layers.

Composite Volcanoes

Mountains formed from lava flows and pyroclastic eruptions, typically featuring steep profiles and periodic explosive eruptions.

Normal Faulting

A type of fault where the hanging wall moves downward relative to the footwall, typically occurring in regions undergoing extension.

Scoria

A dark-colored volcanic rock with abundant gas bubbles, typically found around basaltic volcanoes.