Math Problem Statement

Use software or a calculator to find the​ range, variance, and standard deviation of the following body​ temperatures, in degrees​ Fahrenheit, taken at​ 12:00 A.M.

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Part 1

The range of the data set is

enter your response here

▼   hours.hours.

hours squared .hours2.

left parenthesis degrees Upper F right parenthesis squared .(°F)2.

degrees F.°F.

​(Round to two decimal places as​ needed.)

Solution

To find the range, variance, and standard deviation of the body temperatures, we need the actual data points. Since you mentioned that there's a table of body temperatures, please upload it or provide the data points directly, so we can proceed with the calculations.

Once the data is provided, we will follow these steps:

  1. Range: Subtract the smallest temperature from the largest temperature.
  2. Variance:
    • Calculate the mean (average) temperature.
    • Subtract the mean from each temperature, square the result, and find the average of these squared differences.
  3. Standard Deviation: Take the square root of the variance.

Please upload the table or provide the body temperature data. After that, we can calculate the range, variance, and standard deviation.

Do you want to provide the data or need help understanding these steps?

5 Related Questions

  1. What is the mean and how does it relate to the standard deviation?
  2. How is the variance different from the standard deviation?
  3. Why is it important to round to two decimal places in statistical calculations?
  4. How does outlier data affect the range and standard deviation?
  5. How can the range be used to understand the spread of data?

Tip

Always check for outliers in your data set as they can significantly affect measures like the mean and standard deviation.

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Math Problem Analysis

Mathematical Concepts

Statistics
Range
Variance
Standard Deviation

Formulas

Range = Max value - Min value
Variance = Σ(x - μ)^2 / N
Standard Deviation = √Variance

Theorems

Descriptive Statistics Theorems

Suitable Grade Level

Grades 10-12