Is It Possible for the Standard Deviation of a Data

question 251

Essay

Is it possible for the standard deviation of a data set to be larger than its variance? Explain.

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Definitions:

Middle Ear

The portion of the ear containing the ossicles, which connect the eardrum to the oval window and amplify sound waves.

Cochlea

The fluid-filled, snail-shaped, bony chamber in the inner ear that contains the basilar membrane and its hair cells (the sound receptors).

Basilar Membranes

A structure in the cochlea of the inner ear that vibrates in response to sound, playing a key role in the sensory coding of auditory signals.

Tectorial Membranes

A structure in the cochlea of the inner ear that is involved in the auditory sensing process, by interacting with hair cells to facilitate hearing.