Ap Statistics Worksheet Page 2

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Name: __________________________________________
Date: ______________
To use the calculator to find the area under a normal curve:
1) If not given the z-score, then use the z-score formula to standardize the value.
nd
2) Go to 2
-VARS-#2 normalcdf
3) You can input either a z-scores, or ,
a. If you use z-scores: normalcdf (lower z, upper z)
b. If you use raw data (x, , ):
Normalcdf (lower bound, upper bound, , )
 If not given a lower bound, you can use -
by typing -1e99. You input
the letter ‘e’ by pressing the 2
key, then the comma key.
nd
 If not given an upper bound, you can use +
by typing 1e99.
 You can report the value as a percent or as a decimal.
To use the calculator to draw a normal curve and see the shading underneath:
1) Make sure STAT PLOTS (2
, y=) is OFF, and no graphs exist (y=) .
nd
2) Set window to view correctly: xmin= -3, xmax = 3, xscale = 1, ymin = -.1,
ymax=.5, yscale = 1, res=1.
3) Go to 2
-VARS DRAW #1ShadeNorm(lower z, upper z)
nd
4) You will need to clear drawing each time, or the next entry may give a
correct answer for area under curve, but an incorrect drawing.
a. Press 2
PGM #1ClrDraw.
nd
To find a data value that represents a certain percentile, when given , :
1) Go to 2
-VARS-#3 invNorm (percentile as a decimal, , )
nd
To find the z-score associated with a percentile under a standardized normal
curve meaning N(0,1):
2) Simply got to 2
-VARS-#3 invNorm(percentile as a decimal
nd
Note: You do not have to close ( )’s.
Example: To find the z-score associated with 75
percentile, or the value of Q3,
th
press invNorm(.75 = .67. Therefore, z=.67 at the 75
percentile.
th

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