Thank you for visiting For a population with mu 46 and sigma 10 find the z score for each of the following values X 24 X 76 X 44. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The z-scores for X=24, X=76, X=44, and X=63 with a mean of 46 and a standard deviation of 10 are -2.2, 3.0, -0.2 and 1.7 respectively.
Explanation:
The z-score in a standard normal distribution shows us how many standard deviations an element is from the mean. It's calculated as (x - μ)/σ where x is the value you're looking at, μ is your mean and σ is your standard deviation. You've been given the mean (46) and standard deviation (10) for your population. So, for those individual values of x, you'll compute:
- For x = 24, z = (24 - 46) / 10 = -2.2
- For x = 76, z = (76 - 46) / 10 = 3.0
- For x = 44, z = (44 - 46) / 10 = -0.2
- For x = 63, z = (63 - 46) / 10 = 1.7
So, the correct answer would be -2.2, 3.0, -0.2, and 1.7.
Learn more about z-score here:
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