Constructing a Normal Curve

Toggle Audio Complete the number line below so the middle value is 180 centimeters and
the scale is in increments of 5 centimeters. Be sure to label the axis in
the field provided.

Position 1: Value 160

Enter the increment for position 2

Enter the increment for position 3

Enter the increment for position 4

Enter the increment for position 5

Enter the increment for position 6

Enter the increment for position 7

Enter the increment for position 8

Position 9: Value 200

Eneter the correct label for the scale

Answer: Correct!

Go to the next slide. Incorrect. Try again. Try Again Incorrect. The correct number line is shown with increments at 160, 165, 170, 175, 180, 185, 190, 195 and 200 and axis labeled as: .


Presidents' Heights

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Toggle Audio Select the line that represents the mean μ = 179.628 centimeters.

158.862

165.784

172.706

179.628

186.55

193.472

200.394

Presidents' Heights

Answer: Correct!

Go to the next slide. Incorrect. Try again. Try Again Incorrect. The mean is represented by the middle line at 179.628 centimeters.

Go to the next slide.

Toggle AudioSelect the lines that represent one standard deviation (σ sigma = 6.922 centimeters)
above the mean and below the mean.

158.862

165.784

172.706

μ

186.55

193.472

V200.394

Presidents' Heights

Answer: Correct! The lines that represent one standard deviation above the mean (186.55 centimeters) and one standard deviation below the mean (172.706 centimeters) mark where the normal curve will have its inflection points. Those are the points where the normal curve changes from curving upward to curving downward and back to curving upward again.

Go to the next slide. Incorrect. Try again. Try Again Incorrect. The lines that represent one standard deviation above the mean (186.55 centimeters) and one standard deviation below the mean (172.706 centimeters) mark where the normal curve will have its inflection points. Those are the points where the normal curve changes from curving upward to curving downward and back to curving upward again.

Go to the next slide.

Toggle AudioSelect the lines that represent two standard deviations above the mean and
below the mean.

158.862

165.784

1 σsigma

μ

1 σsigma

193.472

200.394

Presidents' Heights

Answer: Correct! The line that represents two standard deviations above the mean is at 193.472 centimeters, and the line that represents two standard deviations below the mean is at 165.784 centimeters. As the data distribution approaches three standard deviations from the mean, the tails of the normal curve approach the x-axis. The vertical lines at two and three standard deviations from the mean will help guide you when you sketch the normal curve.

Go to the next slide. Incorrect. Try again. Try Again Incorrect. The line that represents two standard deviations above the mean is at 193.472 centimeters, and the line that represents two standard deviations below the mean is at 165.784 centimeters. As the data distribution approaches three standard deviations from the mean, the tails of the normal curve approach the x-axis. The vertical lines at two and three standard deviations from the mean will help guide you when you sketch the normal curve.

Go to the next slide.

Toggle AudioWhich normal curve drawn on the number line correctly estimates the distribution
of the heights of the presidents of the United States?

A

B

C

Answer: Correct! Incorrect. Try again. Try Again Incorrect. The answer is A.