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. 0.97 The indicated IQ 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.
![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.
[Links for viewing tables]
- Click to view page 1 of the table.
- Click to view page 2 of the table.
**Graph Explanation:**
The graph illustrates a bell-shaped curve representing the normal distribution of IQ scores. The shaded region under the curve corresponds to the proportion of the population with IQ scores up to a certain value (x). This area is labeled as 0.97, indicating that 97% of the population falls below the indicated IQ score.
The indicated IQ score, \( x \), is [input box] (Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27d6f0ec-e63c-4b69-b877-dbc0300e3738%2F2367d02a-7904-468b-a4e8-fafceff3265f%2Fzorssew_processed.png&w=3840&q=75)
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