Weights of male mountain lions follow the normal distribution with a median of 140 lb and an interquartile range of 8 lb. How to find the 55th percentile??

Question

anonymous · Answer

How to find the 75th  and 95 thpercentile of the weights.

anonymous · Answer

@kniedite  any idea?

anonymous · Answer

not yet

anonymous · Answer

@kniedite  since Iq=Up-Lq=8.2, median is given 150lb , how we can find lower quartile?

anonymous · Answer

a.154.11
b.160

anonymous · Answer

Q3-Q1= SD(z3-z1)
8.2 = SD(0.67-(-0.67))
SD=8.2/1.34
SD=6.12

0.674*6.12 + 150 =154.11 for 75th percentile
1.645*6.12 + 150 = 160 for 95th percentile