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Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.
<h3>What does Chebyshev’s Theorem state?</h3>When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:
- At least 75% of the measures are within 2 standard deviations of the mean.
- At least 89% of the measures are within 3 standard deviations of the mean.
- An in general terms, the percentage of measures within k standard deviations of the mean is given by
.
In this problem, considering a standard deviation of 40, we have that:
440 - 2 x 40 = 360.
440 + 2 x 30 = 520.
Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.
More can be learned about Chebyshev's Theorem at brainly.com/question/25303620
<em>The answer you are looking for is: </em>
<em><u>270
</u></em>
<em><u>15*18= 270 </u></em>
<em><u>And you have to add the yard square at the end. </u></em>
<em>Hope that helps!! </em>
<em>Have a wonderful day!!</em><span />
<em><u>270
<em><u>15*18= 270 </u></em>
<em><u>And you have to add the yard square at the end. </u></em>
<em>Hope that helps!! </em>
<em>Have a wonderful day!!</em><span />