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. 63 23 43 56 25 83 53 41 68 34 45 (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to three decimal places.) cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to two decimal places.) Variance Standard deviation Interpret these values. The variance can be interpreted as the deviation of the distance at which a bat first detected a nearby insect from the distance at which a bat first detected a nearby insect. The standard deviation can be interpreted as the deviation of the distance at which a bat first detected a nearby insect from the distance at which a bat first detected a nearby insect.
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.
63 23 43 56 25 83 53 41 68 34 45
(a)
Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to three decimal places.)
cm
(b)
Calculate the sample variance and standard deviation for this data set. (Round your answers to two decimal places.)
Variance
Standard deviation
Interpret these values.
The variance can be interpreted as the deviation of the distance at which a bat first detected a nearby insect from the distance at which a bat first detected a nearby insect. The standard deviation can be interpreted as the deviation of the distance at which a bat first detected a nearby insect from the distance at which a bat first detected a nearby insect.
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