1. Find the range, the variance, and the standard deviation for the sample of ten IQ scores randomly selected from a school for academically gifted students. 132 139 162 147 133 160 145 150 148 153 2. Consider the data set represented by the table z 26 27 28 29 30 31 32 f3 4 16 12 6 2 1 a. Use the frequency table to find that Ea 1256 and Er² = 35,926. b. Use the information in part (a) to compute the sample mean and the sample standard deviation.
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.
![1. Find the range, the variance, and the standard deviation for the sample of ten IQ scores
randomly selected from a school for academically gifted students.
132
139 162 147
133 160 145 150
148 153
2.
Consider the data set represented by the table
z 26 27 28 29 30 31 32
f3 4 16 12 6 2 1
a. Use the frequency table to find that Ea = 1256 and Er = 35,926.
b. Use the information in part (a) to compute the sample mean and the sample standard deviation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5389b8ff-dc49-4dd1-a155-b56fb0824f0f%2F389b5622-97bb-4f86-b917-77aa72787b0f%2Fot3oyvc_processed.jpeg&w=3840&q=75)
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