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LET’S TRY ANOTHER EXAMPLE... If IQ: µ =100, o =15 Remer H = Population Mean o = Population standard deviation. What is the 68%, 95.5%, 99.7%, and 99.9% range of IQ? 68% Range = X ± 1S, %3D 95.5% Range = X± 2S, 99.7% Range = X± 3S,► 99.9% Range =X±4S, %3D

LET’S TRY ANOTHER EXAMPLE... If IQ: µ =100, o =15 Remer H = Population Mean o = Population standard deviation. What is the 68%, 95.5%, 99.7%, and 99.9% range of IQ? 68% Range = X ± 1S, %3D 95.5% Range = X± 2S, 99.7% Range = X± 3S,► 99.9% Range =X±4S, %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Exploring IQ Ranges: An Example** **Given:** If IQ: \( \mu = 100, \sigma = 15 \) **Objective:** Determine the 68%, 95.5%, 99.7%, and 99.9% range of IQ values. **Definitions:** - \( \mu = \) Population Mean - \( \sigma = \) Population Standard Deviation **Ranges:** - **68% Range:** Formula: \( \overline{X} \pm 1S_x \) This calculates the IQ range that includes approximately 68% of the population. - **95.5% Range:** Formula: \( \overline{X} \pm 2S_x \) This calculates the IQ range that includes approximately 95.5% of the population. - **99.7% Range:** Formula: \( \overline{X} \pm 3S_x \) This calculates the IQ range that includes approximately 99.7% of the population. - **99.9% Range:** Formula: \( \overline{X} \pm 4S_x \) This calculates the IQ range that includes approximately 99.9% of the population. The arrows point to spaces where the calculated IQ ranges would be placed.
Transcribed Image Text:**Exploring IQ Ranges: An Example** **Given:** If IQ: \( \mu = 100, \sigma = 15 \) **Objective:** Determine the 68%, 95.5%, 99.7%, and 99.9% range of IQ values. **Definitions:** - \( \mu = \) Population Mean - \( \sigma = \) Population Standard Deviation **Ranges:** - **68% Range:** Formula: \( \overline{X} \pm 1S_x \) This calculates the IQ range that includes approximately 68% of the population. - **95.5% Range:** Formula: \( \overline{X} \pm 2S_x \) This calculates the IQ range that includes approximately 95.5% of the population. - **99.7% Range:** Formula: \( \overline{X} \pm 3S_x \) This calculates the IQ range that includes approximately 99.7% of the population. - **99.9% Range:** Formula: \( \overline{X} \pm 4S_x \) This calculates the IQ range that includes approximately 99.9% of the population. The arrows point to spaces where the calculated IQ ranges would be placed.
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