Stanford-Binet IQ Test scores are normally distributed with a mean score of 100 and a
standard deviation of 16. Find the probability that a randomly selected person has an
IQ test score of:

(c) Between 72 and 128.
draw a graph to show the Z values

The graph above shows a standard normal distribution with the area between \( Z = -1.75 \) and \( Z = 1.75 \) shaded in light blue. This shaded region represents the probability that a randomly selected person's IQ lies between 72 and 128, which is approximately 91.98%.

Would you like further details or explanations? Here are five additional questions related to this topic:

1. How do you calculate probabilities for values outside the standard deviation range?
2. What is the probability of having an IQ above 128?
3. How can Z-scores be used to compare different datasets?
4. How do you interpret Z-scores in different contexts?
5. Can the IQ distribution change over time or in different populations?

**Tip:** Z-scores help standardize data, allowing comparisons between different distributions.

Stanford-Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 16. Find the probability that a randomly selected person has an IQ test score of: (c) Between 72 and 128. Draw a graph to show the Z values.

This problem involves finding the probability that a randomly selected person has an IQ score between 72 and 128 using the properties of normal distribution. Learn to calculate Z-scores and interpret standard normal distribution graphs. Suitable for Grades 9-12.

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