2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with mean µ = 67 inches and standard deviation o = 2.5inches. (a) Graph this normal distribution and label the axis. (b) What proportion of these men were between 66 and 68 inches tall? (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height?

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2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that
many human characteristics such as height and IQ are distributed throughout the entire population
in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great
Britain. This forms a normal distribution with mean µ = 67 inches and standard deviation o =
2.5inches.
(a) Graph this normal distribution and label the axis.
(b) What proportion of these men were between 66 and 68 inches tall?
(c) What fraction of the adult male population in Great Britain was within one standard
deviation of the mean height?
Transcribed Image Text:2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with mean µ = 67 inches and standard deviation o = 2.5inches. (a) Graph this normal distribution and label the axis. (b) What proportion of these men were between 66 and 68 inches tall? (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height?
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