Explore BrainMass

Explore BrainMass

    Standardized Scores

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    1. Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find:
    (a) the z-score
    (b) percentile rank
    (c) t-score
    (d) SAT score
    (e) stanine score

    2. Sammy Slicko bets that he can flip a coin and come up heads every time. At what point in the coin toss (5 in a row, 6 in a row, or 7 in a row), can we present a case that the coin is rigged?

    © BrainMass Inc. brainmass.com October 4, 2022, 3:57 pm ad1c9bdddf
    https://brainmass.com/statistics/quantative-analysis-of-data/standardized-scores-191619

    Solution Preview

    Please see attached file

    Use has been made of information at http://edtech.kennesaw.edu/dataanalysis/explaintestscores.htm for answering the questions

    1. Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find:

    (a) the z-score

    Raw score=x= 75
    Mean=M= 60
    Standard deviation =s= 12
    z=(x-M)/s= 1.25 =(75-60) / 12

    Answer: 1.25

    (b) percentile rank

    "A percentile score indicates the percentage of people an individual did better than in a reference group. Example: A person scoring at the 84th percentile did better than 84% of those in the norming or reference group.

    "

    z= 1.25
    Probability value corresponding to Z = 1.25 = 0.8944 0r 89.44%

    Percentile ...

    Solution Summary

    Standardized Scores (z-score, percentile rank, t-score, SAT score, stanine score) are calculated, given mean, standard deviation and raw score.

    $2.49

    ADVERTISEMENT