Find the percentage of the area under a normal curve between the mean and the gi
ID: 3349780 • Letter: F
Question
Find the percentage of the area under a normal curve between the mean and the given number of standard deviations from the mean.
-0.40
z
A
z
A
z
A
z
A
.00
.0000
.48
.1844
.96
.3315
1.44
.4251
.01
.0040
.49
.1879
.97
.3340
1.45
.4265
.02
.0080
.50
.1915
.98
.3365
1.46
.4279
.03
.0120
.51
.1950
.99
.3389
1.47
.4292
.04
.0160
.52
.1985
1.00
.3413
1.48
.4306
.05
.0199
.53
.2019
1.01
.3438
1.49
.4319
.06
.0239
.54
.2054
1.02
.3461
1.50
.4332
.07
.0279
.55
.2088
1.03
.3485
1.51
.4345
.08
.0319
.56
.2123
1.04
.3508
1.52
.4357
.09
.0359
.57
.2157
1.05
.3531
1.53
.4370
.10
.0398
.58
.2190
1.06
.3554
1.54
.4382
.11
.0438
.59
.2224
1.07
.3577
1.55
.4394
.12
.0478
.60
.2258
1.08
.3599
1.56
.4406
.13
.0517
.61
.2291
1.09
.3621
1.57
.4418
.14
.0557
.62
.2324
1.10
.3643
1.58
.4430
.15
.0596
.63
.2357
1.11
.3665
1.59
.4441
.16
.0636
.64
.2389
1.12
.3686
1.60
.4452
.17
.0675
.65
.2422
1.13
.3708
1.61
.4463
.18
.0714
.66
.2454
1.14
.3729
1.62
.4474
.19
.0754
.67
.2486
1.15
.3749
1.63
.4485
.20
.0793
.68
.2518
1.16
.3770
1.64
.4495
.21
.0832
.69
.2549
1.17
.3790
1.65
.4505
.22
.0871
.70
.2580
1.18
.3810
1.66
.4515
.23
.0910
.71
.2612
1.19
.3830
1.67
.4525
.24
.0948
.72
.2642
1.20
.3849
1.68
.4535
.25
.0987
.73
.2673
1.21
.3869
1.69
.4545
.26
.1026
.74
.2704
1.22
.3888
1.70
.4554
.27
.1064
.75
.2734
1.23
.3907
1.71
.4564
.28
.1103
.76
.2764
1.24
.3925
1.72
.4573
.29
.1141
.77
.2794
1.25
.3944
1.73
.4583
.30
.1179
.78
.2823
1.26
.3962
1.74
.4591
.31
.1217
.79
.2852
1.27
.3980
1.75
.4599
.32
.1255
.80
.2881
1.28
.3997
1.76
.4608
.33
.1293
.81
.2910
1.29
.4015
1.77
.4616
.34
.1331
.82
.2939
1.30
.4032
1.78
.4625
.35
.1368
.83
.2967
1.31
.4049
1.79
.4633
.36
.1406
.84
.2996
1.32
.4066
1.80
.4641
.37
.1443
.85
.3023
1.33
.4082
1.81
.4649
.38
.1480
.86
.3051
1.34
.4099
1.82
.4656
.39
.1517
.87
.3079
1.35
.4115
1.83
.4664
.40
.1554
.88
.3106
1.36
.4131
1.84
.4671
.41
.1591
.89
.3133
1.37
.4147
1.85
.4678
.42
.1628
.90
.3159
1.38
.4162
1.86
.4686
.43
.1664
.91
.3186
1.39
.4177
1.87
.4693
.44
.1700
.92
.3212
1.40
.4192
1.88
.4700
.45
.1736
.93
.3238
1.41
.4207
1.89
.4706
.46
.1772
.94
.3264
1.42
.4222
1.90
.4713
.47
.1808
.95
.3289
1.43
.4236
1.91
.4719
1.92
.4726
2.42
.4922
2.92
.4983
3.42
.4997
1.93
.4732
2.43
.4925
2.93
.4983
3.43
.4997
1.94
.4738
2.44
.4927
2.94
.4984
3.44
.4997
1.95
.4744
2.45
.4929
2.95
.4984
3.45
.4997
1.96
.4750
2.46
.4931
2.96
.4985
3.46
.4997
1.97
.4756
2.47
.4932
2.97
.4985
3.47
.4997
1.98
.4762
2.48
.4934
2.98
.4986
3.48
.4998
1.99
.4767
2.49
.4936
2.99
.4986
3.49
.4998
2.00
.4773
2.50
.4938
3.00
.4987
3.50
.4998
2.01
.4778
2.51
.4940
3.01
.4987
3.51
.4998
2.02
.4783
2.52
.4941
3.02
.4987
3.52
.4998
2.03
.4788
2.53
.4943
3.03
.4988
3.53
.4998
2.04
.4793
2.54
.4945
3.04
.4988
3.54
.4998
2.05
.4798
2.55
.4946
3.05
.4989
3.55
.4998
2.06
.4803
2.56
.4948
3.06
.4989
3.56
.4998
2.07
.4808
2.57
.4949
3.07
.4989
3.57
.4998
2.08
.4812
2.58
.4951
3.08
.4990
3.58
.4998
2.09
.4817
2.59
.4952
3.09
.4990
3.59
.4998
2.10
.4821
2.60
.4953
3.10
.4990
3.60
.4998
2.11
.4826
2.61
.4955
3.11
.4991
3.61
.4999
2.12
.4830
2.62
.4956
3.12
.4991
3.62
.4999
2.13
.4834
2.63
.4957
3.13
.4991
3.63
.4999
2.14
.4838
2.64
.4959
3.14
.4992
3.64
.4999
2.15
.4842
2.65
.4960
3.15
.4992
3.65
.4999
2.16
.4846
2.66
.4961
3.16
.4992
3.66
.4999
2.17
.4850
2.67
.4962
3.17
.4992
3.67
.4999
2.18
.4854
2.68
.4963
3.18
.4993
3.68
.4999
2.19
.4857
2.69
.4964
3.19
.4993
3.69
.4999
2.20
.4861
2.70
.4965
3.20
.4993
3.70
.4999
2.21
.4865
2.71
.4966
3.21
.4993
3.71
.4999
2.22
.4868
2.72
.4967
3.22
.4994
3.72
.4999
2.23
.4871
2.73
.4968
3.23
.4994
3.73
.4999
2.24
.4875
2.74
.4969
3.24
.4994
3.74
.4999
2.25
.4878
2.75
.4970
3.25
.4994
3.75
.4999
2.26
.4881
2.76
.4971
3.26
.4994
3.76
.4999
2.27
.4884
2.77
.4972
3.27
.4995
3.77
.4999
2.28
.4887
2.78
.4973
3.28
.4995
3.78
.4999
2.29
.4890
2.79
.4974
3.29
.4995
3.79
.4999
2.30
.4893
2.80
.4974
3.30
.4995
3.80
.4999
2.31
.4896
2.81
.4975
3.31
.4995
3.81
.4999
2.32
.4898
2.82
.4976
3.32
.4996
3.82
.4999
2.33
.4901
2.83
.4977
3.33
.4996
3.83
.4999
2.34
.4904
2.84
.4977
3.34
.4996
3.84
.4999
2.35
.4906
2.85
.4978
3.35
.4996
3.85
.4999
2.36
.4909
2.86
.4979
3.36
.4996
3.86
.4999
2.37
.4911
2.87
.4980
3.37
.4996
3.87
.5000
2.38
.4913
2.88
.4980
3.38
.4996
3.88
.5000
2.39
.4916
2.89
.4981
3.39
.4997
3.89
.5000
2.40
.4918
2.90
.4981
3.40
.4997
2.41
.4920
2.91
.4982
3.41
.4997
The percentage of area under the normal curve between the mean and 0.40 standard deviations from the mean is ____%.
z
A
z
A
z
A
z
A
.00
.0000
.48
.1844
.96
.3315
1.44
.4251
.01
.0040
.49
.1879
.97
.3340
1.45
.4265
.02
.0080
.50
.1915
.98
.3365
1.46
.4279
.03
.0120
.51
.1950
.99
.3389
1.47
.4292
.04
.0160
.52
.1985
1.00
.3413
1.48
.4306
.05
.0199
.53
.2019
1.01
.3438
1.49
.4319
.06
.0239
.54
.2054
1.02
.3461
1.50
.4332
.07
.0279
.55
.2088
1.03
.3485
1.51
.4345
.08
.0319
.56
.2123
1.04
.3508
1.52
.4357
.09
.0359
.57
.2157
1.05
.3531
1.53
.4370
.10
.0398
.58
.2190
1.06
.3554
1.54
.4382
.11
.0438
.59
.2224
1.07
.3577
1.55
.4394
.12
.0478
.60
.2258
1.08
.3599
1.56
.4406
.13
.0517
.61
.2291
1.09
.3621
1.57
.4418
.14
.0557
.62
.2324
1.10
.3643
1.58
.4430
.15
.0596
.63
.2357
1.11
.3665
1.59
.4441
.16
.0636
.64
.2389
1.12
.3686
1.60
.4452
.17
.0675
.65
.2422
1.13
.3708
1.61
.4463
.18
.0714
.66
.2454
1.14
.3729
1.62
.4474
.19
.0754
.67
.2486
1.15
.3749
1.63
.4485
Explanation / Answer
As per normal distribution curve, the equal amount data will be distributed both sides of the curve.
-0.40 of the area covered or 0.40 of right curve = 0.1554 or 15.54%
The area covered between mean and -0.4 standard deviation from the mean is 15.54%