A random experiment involves drawing a sample of 12 data values from a normally distributed population. The random variable is the range of the data set.

26

28

28

29

36

38

43

44

45

50

50

50


Give the random variable. (Appropriate rounding rules still apply.)
r.v. = 

The random variable in this experiment is the *range* of the data set, which is defined as the difference between the maximum and minimum values in the sample.

Given the sample dataThe random variable in this experiment is the *range* of the data set, which is defined as the difference between the maximum and minimum values in the sample.

Given the sample 

\[
26, \, 28, \, 28, \, 29, \, 36, \, 38, \, 43, \, 44, \, 45, \, 50, \, 50, \, 50
\]

- **Maximum value**: 50
- **Minimum value**: 26

The range is:

\[
\text{Range} = 50 - 26 = 24
\]

Thus, the random variable is:

\[
\text{r.v.} = 24
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How is the range affected by outliers in a data set?
2. What are other common measures of spread besides the range?
3. How does the range relate to the standard deviation in a normal distribution?
4. How would the range change if we had a different sample size?
5. What is the relationship between range and interquartile range (IQR)?

**Tip**: The range is a simple measure of spread, but it is highly sensitive to extreme values (outliers) and does not reflect the distribution of data points within the set.

A random experiment involves drawing a sample of 12 data values from a normally distributed population. The random variable is the range of the data set.

26, 28, 28, 29, 36, 38, 43, 44, 45, 50, 50, 50

Give the random variable. (Appropriate rounding rules still apply.)

Learn how to calculate the range of a data set from a sample of 12 values drawn from a normally distributed population. The sample data is [26, 28, 28, 29, 36, 38, 43, 44, 45, 50, 50, 50], and the range is determined as the difference between the maximum and minimum values. Ideal for students in Grades 9-12.

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