Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper gave the following distances (in centimeters) at which a bat first detected a nearby insect. 61 24 25 56 53 34 43 41 68 45 83   (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to four decimal places.)  cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to four decimal places.) VarianceStandard deviation Interpret these values.

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