Systolic blood pressure readings for a population of adults are normally distributed with a mean of 118 and a standard deviation of 10. (

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 above 117,

¹Click 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 above 117 is

(Round to two decimal places as needed.)

1:2-Scores and Percentiles

z-Scores and Percentiles

Score Percentile z-Score Percentile -Score Percentile -Score Percentile

1.1

86.43

50.00

0.003

<-4.0

15.87

12

88.49

51.99

<-3.5

17.11

1.3

53.98

90.32

18.41

<-3.0

91.92

1.4

55.96

19.77

-2.9

93.32

21.19

57.93

0.20

94.52

22.66

59.87

0.25

24.20

61.79

0.30

95.54

25.78

0.35

63.68

96.41

27.43

0.40

65.54

0.45

67.36

97.13

97.72

98.21

0.50

69.15

98.61

98.93

99.18

99.38

99.53

99.65

99.74

99.81

99.87

99.98

99.997

-2.8

-2.7

-26

-25

-2.3

-22

-2.1

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

-2.0

-1.9

-1.8

3.59

-1.7

4.46

-1.6

5.48

<-15

6.68

-1.4

8.08

-1.3

9.68

-1.2 11.51

-1.1

13.57

-1.0

-0.95

-0.90

-0.85

-0.80

-0.75

-0.70

-0.65

-0.60

-0.55

-0.50

-0.45

-0.40

-0.35

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

0.0

29.12

30.85

32.64

34.46

36.32

38.21

40.13

42.07

44.04

46.02

0.0

0.05

0.10

0.15

48.01

50.00

0.55

0.60

0.65

0.70

0.75

0.80

0.85

0.90

0.95

1.0

70.88

72.57

74.22

75.80

77.34

78.81

80.23

81.59

82.89

84.13

1.5

1.6

17

1.8

1.9

2.0

3):

21

2.2

2.3

24

2.5

2.6

2.7

2.8

2.9

3.0

3.5

4.0