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    Mathematics
    Grade10
    Easy

    Question

    Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
    What is the z-score of the Maha?

    1. 1.5
    2. 1.6
    3. 1.9
    4. None of the above

    hintHint:

    z-score is a statistical measure that is used to determine the distance of a raw score from the mean by measuring the standard deviations.

    The correct answer is: 1.5

      Step 1 of 1:
      We have given Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      straight z minus text  score  end text equals fraction numerator text  data value  end text minus text  mean  end text over denominator text  standard deviation  end text end fraction
      equals fraction numerator 1400 minus 1100 over denominator 200 end fraction
      equals 300 over 200
      = 1.5

      The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

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