Explore BrainMass

Explore BrainMass

    Computing Standard Deviation by Applying Standard Normal Formula

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please explain how to solve for a sample standard deviation with the z-scores.

    The problem I am working on is given as a sample with M = 51, x = 59 corresponds to z = 2.00.
    What is the standard deviation?

    I also have a distribution score of u = 78
    If I have a score of x = 70 which standard deviation would give you a better grade o= 4 or o= 8?
    If the score was x = 80 which standard deviation would give you the better score the o= 4 or o= 8?
    How do I set this problem up to be solved?

    © BrainMass Inc. brainmass.com June 4, 2020, 4:51 am ad1c9bdddf
    https://brainmass.com/statistics/data-collection/computing-standard-deviation-applying-standard-normal-formula-583959

    Solution Preview

    1. We know that z = (x-M)/sd where sd is what we need to solve.

    So 2.00 = (59-51)/sd, so sd = 4

    2. Now x = 70 ...

    Solution Summary

    The solution gives detailed steps on computing standard deviation by applying standard normal formula and also comparing the z scores.

    $2.19

    ADVERTISEMENT