tcs1257621
Answered

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Using the Empirical Rule, it is found that:

Scores between 80% and 96% are within 2 standard deviations of the mean.
68 scores are within one standard deviation of the mean.
It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Considering the mean of 88% and the standard deviation of 4%, the scores that are within 2 standard deviations of the mean are:

88 - 2 x 4 = 80%.
88 + 2 x 4 = 96%.
68% are within 1 standard deviation of the mean, hence, out of 100:

0.68 x 100% = 68 scores.

What is the median of the above answer? Pls help fast.

Sagot :

Considering that the mean of the normal distribution is the same as the median, the median is of 88%.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

For the normal distribution, the median is the same of the mean, that is, the median is of 88%.

More can be learned about the Empirical Rule and the normal distribution at https://brainly.com/question/24537145

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