The formula is z = (x-u)/s. This means that you subtract your height from population value and divide it by population standard deviation. The formula is z = (x-µ)/σ, where z is the calculated z-score, x is your height in inches, µ is the population mean, and σ is the population standard deviation.
The z score calculation is:
z = (70 – 69.3) / 2.8 = 0.25
You can calculate the range by multiplying the standard deviation of the population by 2, and adding/subtracting from the mean population. The range created is between 2 standard deviations from the mean population value, and covers approximately 95%. As an example:
Normal range = 69.3 ± (2 x 2.8) = 63.7 to 74.9 inches
You can answer questions on the post by clicking here:
- Your height is within normal limits. This is what you expected, right?
Calculate your z-score and compare it with the normal range. This will determine whether your height is within normal limits. If the z-score of your height falls between -2 and 2 then it is in the range.
- Is your height considered abnormal? Would you consider your height unusual?
The height of someone who is taller than average would be considered unusual if the z-score falls outside this range. Your height will be significantly higher than average.
- Are you tall?
You may have difficulty in finding clothing or limiting yourself to certain professions or activities because of your height.
- What does normality mean to you?
Consider how normal values are determined in your profession or field, for example in setting treatment goals or in determining laboratory normal values.
- Knowing what to expect can help individuals, businesses and government agencies plan.
Think about how being aware of what’s normal or usual can assist organizations in making decisions and planning, for example, when designing products, establishing safety standards or creating health guidelines.