This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Consider a sample with data values of 21, 20, 23, 15, 30, 34, 22, and 20. Compute the range, interquartile range, sample variance, and sample standard deviation. Step 1 The range is the simplest measure of variability within a data set. It is calculated as the difference between the largest data value and the smallest data value. Since only these two values are used, the range can be influenced by extreme values. The original data is given below. 21 20 23 15 30 34 22 20 To more easily see the smallest and largest values, order the data from smallest to largest. 15 20 21 22 23 30 Find the range of the data. range = largest value − smallest value = − 15
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.
QUESTION 5
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
| 21 | 20 | 23 | 15 | 30 | 34 | 22 | 20 |
| 15 | 20 | 21 | 22 | 23 | 30 |
| range | = | largest value − smallest value |
| = | − 15 | |
| = |
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