Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 0.9 The indicated 1Q score, x, is . (Round to one decimal place as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![### Understanding IQ Scores and Their Distribution
**Find the Indicated IQ Score:**
The graph to the right illustrates the distribution of IQ scores for adults. These scores follow a normal distribution with:
- **Mean (μ):** 100
- **Standard Deviation (σ):** 15
**Interactive Content:**
- [Click to view page 1 of the table.](#)
- [Click to view page 2 of the table.](#)
**Graph Explanation:**
The diagram demonstrates a bell-shaped curve typical of a normal distribution. It highlights:
- A shaded region, representing a portion of the distribution.
- The area of the shaded region is marked as **0.9**.
**Task:**
Calculate the indicated IQ score, denoted as \( x \).
Your answer should be **rounded to one decimal place.** Input your result in the box provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3d79d88-085a-4b74-aa4d-a804f1556f72%2F5436eeaa-9b4a-4c99-bae0-933bb85a947e%2F3ape6ei_processed.jpeg&w=3840&q=75)
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