Consider the normal distribution represented by the normal curve in the figure to the right. (Assume the two labeled values are equidistant from the mean.) Complete parts (a) and (b) below. 95% of the data 73.2 cm 96.8 cm (a) Find the mean μ and standard deviation σ of the distribution. με cm (Simplify your answer.) cm (Simplify your answer.) (b) Find the first quartile Q1 and the third quartile Q3 of the distribution. Q1 ༤ cm (Round to the nearest tenth as needed.) Q3≈ cm (Round to the nearest tenth as needed.)

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Consider the normal distribution
represented by the normal curve in
the figure to the right. (Assume the
two labeled values are equidistant
from the mean.) Complete
parts (a) and (b) below.
95% of the data
73.2 cm
96.8 cm
(a) Find the mean μ and standard deviation σ of the distribution.
με
cm (Simplify your answer.)
σ =
cm (Simplify your answer.)
(b) Find the first quartile Q1 and the third quartile Q3 of the distribution.
༠ ༤
cm (Round to the nearest tenth as needed.)
Q3≈
cm (Round to the nearest tenth as needed.)
Transcribed Image Text:Consider the normal distribution represented by the normal curve in the figure to the right. (Assume the two labeled values are equidistant from the mean.) Complete parts (a) and (b) below. 95% of the data 73.2 cm 96.8 cm (a) Find the mean μ and standard deviation σ of the distribution. με cm (Simplify your answer.) σ = cm (Simplify your answer.) (b) Find the first quartile Q1 and the third quartile Q3 of the distribution. ༠ ༤ cm (Round to the nearest tenth as needed.) Q3≈ cm (Round to the nearest tenth as needed.)
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