Systolic blood pressure readings for a population of adults are normally distributed with a mean of 119 and a standard deviation of 16. (
reading above 140 is considered to be high blood pressure.) Begin by converting the given blood pressure reading into a z-score. Then
use the accompanying table of z-scores and percentiles to find the percentage of people with blood pressure readings below 143.
Click the icon to view the table of z-scores and percentiles.
The z-score is
(Type an integer or a decimal.)
The percentage of people with blood pressure readings below 143 is
(Round to two decimal places as needed.).
1: z-Scores and Percentiles
z-Score
-4.0
-3.5
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
z-Scores and Percentiles
Percentile -Score
0.003
0.02
0.13
0.19
0.26
0.35
0.47
0.62
0.82
1.07
1.39
1.79
2.28
2.87
3.59
4.46
5.48
6.68
8.08
9.68
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
11.51
-1.1 13.57
Percentile -Score Percentilez-Score
15.87
0.0
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
-1.0
-0.95 17.11
-0.90 18.41
-0.85
19.77
-0.80
21.19
-0.75
22.66
-0.70
24.20
-0.65
25.78
-0.60
27.43
-0.55
29.12
-0.50 30.85
-0.45
32.64
-0.40
34.46
36.32
-0.35
-0.30
38.21
-0.25
40.13
-0.20
42.07
-0.15
44.04
-0.10
46.02
-0.05
0.0
48.01
50.00
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.0
50.00
51.99
53.98
55.96
57.93
59.87
61.79
63.68
65.54
67.36
69.15
70.88
72.57
74.22
75.80
77.34
78.81
80.23
81.59
82.89
84.13
11
1.2
1.3
14
15
16
17
18
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
Percentile
86.43
88.49
90.32
91.92
93.32
94.52
95.54
96.41
97.13
97.72
98.21
98.61
98.93
99.18
99.38
99.53
3.0
3.5
4.0
99.65
99.74
99.81
99.87
99.98
99.997
Fig: 1