Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P5, the 5th percentile. This is the bone density score separating the bottom 5% from the top 95%. Which graph represents P5? Choose the correct graph below. A. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded. B. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded. C. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded. D. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded. The bone density score corresponding to P5 is

Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P5, the 5th percentile. This is the bone density score separating the bottom 5% from the top 95%. Which graph represents P5? Choose the correct graph below. A. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded. B. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded. C. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded. D. x P5 A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded. The bone density score corresponding to P5 is

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find

P5,

the

5th

percentile. This is the bone density score separating the bottom

from the top 95%.

Which graph represents

P5?

Choose the correct graph below.

A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the left of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the left of the vertical line is shaded.

A symmetric bell-shaped curve is plotted over a horizontal x-scale. A vertical line segment runs from the scale to the curve at labeled coordinate P subscript 5, which is to the right of the curve’s center and peak; the segment’s height is approximately 25 percent of the height of the curve at its peak. The area under the curve to the right of the vertical line is shaded.

The bone density score corresponding to

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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