Answered

Get personalized answers to your specific questions with IDNLearn.com. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 99. 7% of IQ scores

Sagot :

Supernovaidn

Answer:

The interval that would represent the middle 99.7% of IQ scores is (55, 145).

Step-by-step explanation:

The empirical rule tells us that 68% of values are within one standard deviation from the mean, 95% of values are within two standard deviations from the mean, and 99.7% of values are within three standard deviations from the mean.

If we want to determine the interval representing the middle 99.7% of IQ scores, we need to determine the values that are three standard deviations from the mean.

We are given the standard deviation of 15 and a mean of 100. Three standard deviations from the mean can be calculated as such:

  • 100 - 15(3) < 100 < 100 + 15(3)
  • 100 - 45 < 100 < 100 + 45
  • 55 < 100 < 145

The interval that represents the middle 99.7% of IQ scores is (55, 145).

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.