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anonymous

  • 5 years ago

On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what percentile is a 74?

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  1. anonymous
    • 5 years ago
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    You'll need to use a Z-table for this one. First, Z = (X - mean)/(Standard deviation), where X is the given value. Z = (74-64.3)/5.4= 1.80 Next, look up 1.80 in the Z table.

  2. anonymous
    • 5 years ago
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    The table value at Z = 1.80 is 0.0359. The percentile can be calculated as (1-0.0359)*100=96.41 percentile

  3. anonymous
    • 5 years ago
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    ok next between what two values does 68.2% of the distribution lie?

  4. anonymous
    • 5 years ago
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    68.2% of data will fall within one standard deviation of the mean

  5. anonymous
    • 5 years ago
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    so, 64.3-5.4=58.9 is the lower bound and 64.3+5.4=69.7 is the upper

  6. anonymous
    • 5 years ago
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    ok thanks

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