If the range of a data set is 56, find the approximate value of the standard deviation, using the rule of thumb
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.
If the
![**Finding the Approximate Value of the Standard Deviation Using the Range Rule of Thumb**
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**Problem:**
If the range of a data set is 56, find the approximate value of the standard deviation using the range rule of thumb.
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The range rule of thumb is a simple method for estimating the standard deviation of a data set. According to this rule, the standard deviation can be approximated by dividing the range by 4.
**Formula:**
\[
\text{Standard Deviation} \approx \frac{\text{Range}}{4}
\]
**Given:**
- Range of the data set: 56
**Calculation:**
Using the range rule of thumb:
\[
\text{Standard Deviation} \approx \frac{56}{4} = 14
\]
Thus, the approximate value of the standard deviation for the given data set is 14.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2c3ac26-d64b-48f1-9c9b-c26d07afab9f%2F5a6150a8-88d3-4970-b9a3-3dd87cc83dc3%2F467hb3i.jpeg&w=3840&q=75)
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