Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
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0.97
The indicated IQ score, x, is (Round to one decimal place as needed.)
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- X
Standard Normal Table (Page 1)
Standard Normal Table (Page 2)
O5OS.
• 0495
A.0606
0548
0505
.0485
0475
.0465
0455
0537
0655
9834
.9842
9857
0548
.0526
.0516
21
9821
9826
9830
.9838
9846
9850
9854
-1.6
-1.5
.0668
0643
0630
0618
.0594
.0582
.0571
0559
22
.9861
9864
9868
9871
.9875
.9878
9881
.9884
9887
9890
0808
0793
0778
.0764
0749
.0735
.0721
0708
0694
0681
23
.9893
9896
9898
9901
.9904
.9906
9909
.9911
9913
9916
-14
.0885
.0869
0853
0838
0823
0918
J093
-1.3
0968
0951
.0934
0901
.9918
.9920
.9922
9925
.9927
.9929
.9946
2.4
9931
9932
9934
.9936
-1.2
151
1131
12
1075
J06
1038
1020
1003
0985
.9949 . 9951
9962 A 9963
25
.9938
9940
9941
9943
.9945
.9948
.9952
1357
1335
1314
1292
1271
1251
1230
1210
1190
170
2.6
.9953
9955
9956
9957
.9959
.9960
.9961
.9964
-11
1446
1562
1539
1515
1492
1469
1423
1401
1379
27
9965
9966
.9967
.9968
.9969
.9970
.9971
.9972
9973
.9974
-1.0
1587
1685
1660
1841
1814
1788
1762
1736
1711
J635
1611
2.8
9974
9975
9976
9977
.9977
9978
9979
9979
.9980
9981
-0.9
1949
.1922
1894
1867
--0.8
2090
2061
2033
2005
1977
2.9
9981
.9982
9982
.9983
.9984
.9984
.9985
9985
.9986
.9986
2119
2358
2327
2296
2266
2236
.2206
2177
2148
3.0
.9987
9987
9987
9988
9988
9989
.9989
9989
9990
9990
--0.7
2420
2389
2709
2676
2643
2611
2578
2546
2514
2483
2451
-0.6
-0.5
3.1
9990
9991
9991
.9991
.9992
.9992
9992
9992
.9993
.9993
2743
2843
2810
3156
3050
2981
2946
2912
2877
2776
3085
3015
.9993
9995
.9995
9993
9995
3.2
.9994
9994
9994
.9994
.9994
9995
3300
3264
3228
3192
3121
9995
9997
-0.4
3446
3409
3372
3336
.9996
9997
33
.9995
9996
9996
.9996
9996
9996
3632
3594
3557
3520
3483
3783
3745
3707
3669
3821
4207
3.4
9997
9997
9997
9997
9997
9997
9997
9997
9998
-0.3
3974
3897
3859
4052
4013
3936
4129
4522
-0.2
4168
4090
3.50
9999
4483
4443
4404
4364
4325
A286
4247
--0.1
4602
4562
and up
4801
A761
4721
4681
4641
-0.0
5000
4960
4920
4880
4840
NOTE: For values of z above 3.49, use 0.9999 for the area
Common Critical Value
Confidence | Critical
Level
"Use these common values that result from interpolation:
NOTE: For values of z below -3.49. use 0.0001 for the area
Value
z score
Area
*Use these common values that result from interpolation:
0.90
1645
1.645
0.9500
z score
Area
0.95
196
2.575
0.9950
-1645
0.0500
0.99
2.575
-2575
0.0050
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