A normal distribution of heights of adult women from a certain region has a mean of68.7inches and a standard deviation of3inches. Give the standard score and approximate percentiles for a woman with each of the following heights. a.65.7inches b.71.7inches c.70.2inches d.67.2inches LOADING...Click the icon to view the standard scores and percentiles for a normal distribution. a. The standard score isnothingand the percentile isnothing.(Type integers or decimals.) Standard Scores and PercentilesStandard Scores and Percentiles for a Normal DistributionZ-scorePercentileZ-scorePercentileZ-scorePercentileZ-scorePercentile- 1.0- 0.95- 0.90- 0.85- 0.80- 0.75- 0.70- 0.65- 0.60- 0.55-3.50.0215.870.050.001.186.43- 3.0- 2.9- 2.8- 2.7- 2.6- 2.5- 2.4- 2.3- 2.20.1317.110.0551.991.288.490.1918.410.1053.981.390.320.2619.770.1555.961.491.920.3521.190.2057.931.593.320.4722.660.2559.871.694.520.6224.200.3061.791.795.540.8225.780.3563.681.896.411.0727.430.4065.541.997.131.3929.120.4567.362.097.72

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A normal distribution of heights of adult women from a certain region has a mean of 68.7 inches and a standard deviation of 3 inches. Give the standard score and approximate percentiles for a woman with each of the following heights. a. 65.7 inches b. 71.7 inches c. 70.2 inches d. 67.2 inches

A normal distribution of heights of adult women from a certain region has a mean of 68.7 inches and a standard deviation of 3 inches. Give the standard score and approximate percentiles for a woman with each of the following heights. a. 65.7 inches b. 71.7 inches c. 70.2 inches d. 67.2 inches

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 16PPS

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Question

A normal distribution of heights of adult women from a certain region has a mean of

68.7

inches and a standard deviation of

inches. Give the standard score and approximate percentiles for a woman with each of the following heights.

65.7

inches b.

71.7

inches c.

70.2

inches d.

67.2

inches

Click the icon to view the standard scores and percentiles for a normal distribution.

a. The standard score is

nothing

and the percentile is

nothing.

(Type integers or decimals.)

Standard Scores and Percentiles
Standard Scores and Percentiles for a Normal Distribution
Z-score
Percentile
Z-score
Percentile
Z-score
Percentile
Z-score
Percentile
- 1.0
- 0.95
- 0.90
- 0.85
- 0.80
- 0.75
- 0.70
- 0.65
- 0.60
- 0.55
-3.5
0.02
15.87
0.0
50.00
1.1
86.43
- 3.0
- 2.9
- 2.8
- 2.7
- 2.6
- 2.5
- 2.4
- 2.3
- 2.2
0.13
17.11
0.05
51.99
1.2
88.49
0.19
18.41
0.10
53.98
1.3
90.32
0.26
19.77
0.15
55.96
1.4
91.92
0.35
21.19
0.20
57.93
1.5
93.32
0.47
22.66
0.25
59.87
1.6
94.52
0.62
24.20
0.30
61.79
1.7
95.54
0.82
25.78
0.35
63.68
1.8
96.41
1.07
27.43
0.40
65.54
1.9
97.13
1.39
29.12
0.45
67.36
2.0
97.72

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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