Consider the following scores: (i) Score of 40 from a distribution with mean 50 and standard deviation 10 (ii) Score of 45 from a distribution with mean 50 and standard deviation 5 How do the two scores compare relative to their respective distributions?
Added by Brittany R.
Step 1
The z-score is a measure of how many standard deviations away a data point is from the mean of the distribution. The formula for calculating the z-score is: z = (x - μ) / σ where x is the data point, μ is the mean, and σ is the standard deviation. For score Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 91 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Normal Curves and Sampling Distributions
Standard Units and Areas Under the Standard Normal Distribution
Which score has a higher relative position, a score of 58.5 on a test with a mean of 50 and standard deviation of 5, or a score of 267.5 on a test with a mean of 250 and a a standard deviation of 25? (Assume that the distributions being compared have approximately the same shape.) A score of 58.5 A score of 267.5 Both scores have the same relative position.
Joanna Q.
A normal distribution has a mean of 20 and a standard deviation of 10. Two scores are sampled randomly from the distribution and the second score is subtracted from the first. What is the probability that the difference score will be greater than 5?
Sri K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD