Mathematics
Grade10
Easy

Question

If the z-score of the normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation of the normal distribution is 3 less than the value of the x for the normal distribution is

  1. 47.5
  2. 37.5
  3. 52.5
  4. 97.5

hintHint:

In a normal distribution, data is symmetrically distributed with no skew. When plotted on a graph, the data follows a bell shape, with most values clustering around a central region and tapering off as they go further away from the center

The correct answer is: 52.5


    Step 1 of 1:
    We have given If the z-score of the normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation of the normal distribution is 3 less than
    straight z minus score equals fraction numerator text  data value  end text minus text  mean  end text over denominator text  Standard deviation  end text end fraction
    2.5 equals fraction numerator x minus 45 over denominator 3 end fraction
    7.5 equals x minus 45
    x equals 52.5

    Use straight z minus score equals fraction numerator text  data value  end text minus text  mean  end text over denominator text  Standard deviation  end text end fraction

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