Calculate Z-Score for 97.93 Human Body Temp

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In summary, a Z-Score is a statistical measure used to indicate how many standard deviations a data point is above or below the mean of a population. To calculate the Z-Score for human body temperature, the formula is (x - μ) / σ, where x is the individual's body temperature, μ is the population mean, and σ is the population standard deviation. The population mean for human body temperature is typically around 98.6°F (37°C), with a population standard deviation of 0.7°F (0.4°C). Calculating the Z-Score for human body temperature is important in determining if an individual's body temperature falls within a normal range and can aid in diagnosing and monitoring health conditions related to
  • #1
rowdy3
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Human body temperatures are normally distributed with a mean of 98.20 and a standard deviation of 0.62.
Find the z-score corresponding to a body temperature of 97.93.
This is what I did.
97.93 - 98.20 / .62
I got -.44.

WOuld a temperature of 99.71 be considered unusual?
99.71 - 98.20 / .62.
My answer 2.44. Yes because it's more than 2 SD.
 
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  • #2
Correct.
 

FAQ: Calculate Z-Score for 97.93 Human Body Temp

What is a Z-Score?

A Z-Score, also known as a standard score, is a statistical measure that indicates how many standard deviations a data point is above or below the mean of a population.

How do you calculate the Z-Score for human body temperature?

To calculate the Z-Score for human body temperature, you would subtract the population mean from an individual's body temperature and then divide that difference by the population standard deviation. The formula is: Z-Score = (x - μ) / σ, where x is the individual's body temperature, μ is the population mean, and σ is the population standard deviation.

What is the population mean for human body temperature?

The population mean for human body temperature is typically around 98.6°F (37°C). However, this value can vary slightly depending on factors such as age, gender, and time of day.

What is the population standard deviation for human body temperature?

The population standard deviation for human body temperature is typically around 0.7°F (0.4°C). This means that most people's body temperature will fall within 0.7°F of the population mean.

Why is it important to calculate the Z-Score for human body temperature?

Calculating the Z-Score for human body temperature allows us to compare an individual's body temperature to the overall population and determine if it falls within a normal range. This can be useful in diagnosing and monitoring health conditions related to body temperature, such as fever or hypothermia.

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