Assuming that the height of group is normally, find the mean and standard deviation if 84% of the mean have height less than 65.2 inches and 68% have height lying between 65.2 and 62.8 inches.
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Mean = 64 inches , SD = 1.2
Step-by-step explanation:
84% of the men have height less than 65.2 inches
=> 16% of men have height more than 65.2 inches
68% have height lying between 65.2 and 62.8 inches.
=> 84 - 68 = 16 % men have height less than 62.8 inches.
=> 65.2 & 62.8 are at equal Distance from mean
=> mean = (65.2 + 62.8)/2
= 64
Mean = 64 inches
84 % => z = 1
Z = (Value - Mean)/SD
1 = (65.2 - 64)/SD
=> SD = 1.2
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