Use the table to find the standard score and percentile of the following data values. a. A data value 3 standard deviations below the mean. b. A data value 1.4 standard deviations below the mean. c. A data value 1.6 standard deviations above the mean. Click the icon to view the standard scores and percentiles f a. The standard score is -3, and the percentile is 0.13. (Type integers or decimals.) b. The standard score is (Type integers or decimals.) and the percentile is Standard Scores and Percentiles Standard Scores and Percentiles for a Normal Distribution Percentile z-score Percentile z-score z-score Percentile -3.5 0.02 <-1.0 15.87 0.0 0.13 <-0.95 0.05 0.19 -0.90 0.10 0.26 -0.85 0.15 0.35 -0.80 0.20 0.47 -0.75 0.25 0.62 -0.70 0.30 0.82 0.35 <-0.65 1.07 -0.60 0.40 1.39 -0.55 0.45 1.79 <-0.50 0.50 <-3.0 -29 -28 -27 -26 <-25 -24 -23 -22 -21 17.11 18.41 19.77 21.19 22.68 24.20 25.78 27.43 29.12 30.85 50.00 51.99 53.98 55.98 57.93 59.87 61.79 63.68 65.54 67.38 60.15 2-SC 1 1 1 1 1 1 1 1
Use the table to find the standard score and percentile of the following data values. a. A data value 3 standard deviations below the mean. b. A data value 1.4 standard deviations below the mean. c. A data value 1.6 standard deviations above the mean. Click the icon to view the standard scores and percentiles f a. The standard score is -3, and the percentile is 0.13. (Type integers or decimals.) b. The standard score is (Type integers or decimals.) and the percentile is Standard Scores and Percentiles Standard Scores and Percentiles for a Normal Distribution Percentile z-score Percentile z-score z-score Percentile -3.5 0.02 <-1.0 15.87 0.0 0.13 <-0.95 0.05 0.19 -0.90 0.10 0.26 -0.85 0.15 0.35 -0.80 0.20 0.47 -0.75 0.25 0.62 -0.70 0.30 0.82 0.35 <-0.65 1.07 -0.60 0.40 1.39 -0.55 0.45 1.79 <-0.50 0.50 <-3.0 -29 -28 -27 -26 <-25 -24 -23 -22 -21 17.11 18.41 19.77 21.19 22.68 24.20 25.78 27.43 29.12 30.85 50.00 51.99 53.98 55.98 57.93 59.87 61.79 63.68 65.54 67.38 60.15 2-SC 1 1 1 1 1 1 1 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the table to find the standard score and percentile of the following data values.
a. A data value 3 standard deviations below the mean.
b. A data value 1.4 standard deviations below the mean.
c. A data value 1.6 standard deviations above the mean.
Click the icon to view the standard scores and percentiles f
a. The standard score is -3, and the percentile is 0.13.
(Type integers or decimals.)
b. The standard score is
(Type integers or decimals.)
and the percentile is
Standard Scores and Percentiles
Standard Scores and Percentiles for a Normal Distribution
z-score Percentile z-score Percentile Z-score Percentile
z-score
-3.5
50.00
0.02
<-1.0
15.87
0.0
0.13
-0.95
0.05
51.99
0.19
0.10
53.98
55.98
0.26
0.15
0.20
57.93
0.25
59.87
61.79
63.68
65.54
67.38
60.15
<-3.0
-29
-28
-27
-26
-25
-24
-23
-22
-21
0.35
0.47
0.62
0.82
1.07
1.39
1.79
<-0.90
-0.85
<-0.80
-0.75
-0.70
-0.65
-0.60
-0.55
<-0.50
17.11
18.41
19.77
21.19
22.66
24.20
25.78
27.43
29.12
30.85
0.30
0.35
0.40
0.45
0.50
2-score Percentile
1.1
86.43
88.49
90.32
91.92
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
20
21
93.32
94.52
95.54
96.41
97.13
97.72
98.21
X
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