18.45 % percent of the distribution falls between 400 and 500 feet.
Z score is a standard score that tells you how many standard deviations away from the mean an individual value X.
Mean value ,μ= 410 feet
Standard deviation, σ = 45 feet
X = square of an individual
In a set with mean value and standard deviation the z score of a measure X is given by:
Z = (X - μ)/σ
percent of the distribution that falls between 400 and 500 feet
when
X = 400feet
Z = 400-410 / 45 = -0.22
p-value for Z= 400 is 0.4129
X = 500 feet
Z = 500- 410 / 45 = 2
p-value for Z = 500 is 0.2275
So there is 0.4129 - 0.2275 = 0.1854 = 18.45 %percent of the distribution falls between 400 and 500 feet.
Do you know more about standard deviation:
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