Question

Find the Z score for a) 80th percentile: b) 65th percentile c) 20th percentile

Answer 1

Solution:-

Given that,

A) 80% percentile

P(Z < z ) = 80% = 0.80

P(Z < 0.84 ) = 0.80

z = 0.84

z score is = 0.84

B)

65% percentile

P(Z < z ) = 65% = 0.65

P(Z < 0.385 ) = 0.65

z = 0.385

z score is = 0.385

C)

20% percentile

P(Z < z ) = 20% = 0.20

P(Z < -0.84) = 0.20

z = -0.84

z score is = -0.84