The number of woodpeckers in a forest have a mean, mode, and standard deviation of 20, 20, and 5 respectively. Find the range of data between 2 standard deviations from the mean.

Respuesta :

Given: The number of woodpeckers in a forest have

a mean = 20 , mode= 20 , and standard deviation = 5

Computation:

The range of  data between 2 standard deviations from the mean is given by :-

Mean ± 2 (Standard deviation)

i.e. ( Mean- 2 (Standard deviation), Mean + 2(Standard deviation)

i.e. (20-2(5), 20+2(5))

i.e. (20-10, 20+10)

i.e. (10, 30)

Required range = (10, 30) which contains approx. 95% of the data ( By 68-95-99.7 rule)

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