Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=111 and σ=15. (a) What proportion of children aged 13 to 15 years old have scores on this test above 97 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: (b) Enter the score which marks

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=111 and σ=15. (a) What proportion of children aged 13 to 15 years old have scores on this test above 97 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: (b) Enter the score which marks

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Question

100%

1.11

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=111 and σ=15.

(a) What proportion of children aged 13 to 15 years old have scores on this test above 97 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.)
Answer:

(b) Enter the score which marks the lowest 25 percent of the distribution.
Answer:

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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