Question

Refer to the indicated data set in Appendix $B$. Use software or a calculator to find the range, variance, and standard deviation. Express answers using appropriate units, such as "minutes." Refer to Data Set 3 "Body Temperature" in Appendix $\mathrm{B}$ and use the body temperatures for 12: 00 AM on day 2 .

Name: Problem 27, Chapter 3: Elementary Statistics
Uploaded: 2020-12-19T23:01:08-08:00
Duration: 4 min 12 s
Channel: Ahmad Reda
Description: Refer to the indicated data set in Appendix B. Use software or a calculator to find the range, variance, and standard deviation. Express answers using appropriate units, such as "minutes." Refer to Data Set 3 "Body Temperature" in Appendix B and use the body temperatures for 12: 00 AM on day 2 .

   Refer to the indicated data set in Appendix $B$. Use software or a calculator to find the range, variance, and standard deviation. Express answers using appropriate units, such as "minutes."
Refer to Data Set 3 "Body Temperature" in Appendix $\mathrm{B}$ and use the body temperatures for 12: 00 AM on day 2 .

Elementary Statistics

Mario F. Triola 13th Edition

Chapter 3, Problem 27

Instant Answer

Solved by Expert Ahmad Reda

12/19/2020

Step 1

The range is calculated by subtracting the smallest value in the data set from the largest value. In this case, the maximum value is 99.6 and the minimum value is 96.5. So, the range is $99.6 - 96.5 = 3.1$. Show more…

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Refer to the indicated data set in Appendix $B$. Use software or a calculator to find the range, variance, and standard deviation. Express answers using appropriate units, such as "minutes." Refer to Data Set 3 "Body Temperature" in Appendix $\mathrm{B}$ and use the body temperatures for 12: 00 AM on day 2 .

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Key Concepts

Range

Range is a measure of the spread of a data set and is calculated by subtracting the minimum value from the maximum value. It provides a simple indication of the extent of variability in the data and is useful for getting a quick sense of the overall dispersion.

Variance

Variance quantifies the spread of data points around the mean by calculating the average of the squared differences between each data point and the overall mean. It serves as a fundamental metric in statistics to characterize the degree of variability in a data set, although its units are the square of the original units.

Standard Deviation

Standard deviation is derived by taking the square root of the variance, thereby transforming the measure back into the original units of the data. It reflects the typical distance of data points from the mean, making it a widely used and intuitive indicator of variability in a data set.

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