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$$\begin{array}{|c|c|}\hline Score & {Frequency} \\ \hline 90 & {3} \\ \hline 85 & {2} \\ \hline 80 & {3} \\ \hline 75 & {7} \\ \hline 70 & {6} \\ \hline 65 & {4} \\ \hline\end{array}$$What percent of the scores are within one standard deviation of the mean?
64$\%$
Intro Stats / AP Statistics
Algebra
Chapter 12
Probability and Statistics
Section 6
Statistical Measures
Sampling and Data
The Normal Distribution
Introduction to Combinatorics and Probability
Missouri State University
McMaster University
University of Michigan - Ann Arbor
Lectures
01:32
In mathematics, the absolu…
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vincey table. So we need to figure out, um, how many of these scores or items were going to fall within the once in a deviation. So in order to figure that out, we have to kind of draw ourselves or think of ourselves of a number line right down the middle is going to be our mean the center. And that's going to 75.4. And then if I were to go one standard deviation, uh, and one center deviation down, that's a matter of adding the 7.7 to adding the 7.7 to that and subtracting a 7.7. So we're gonna do 75.4 plus 7.7. That gets me 83 point one. And if we do 75.4, minus 7.7, that gets me 67.7. So if you recall there were 25 of these items and so we're just trying to figure out how many out of the 70 hurt out of 25 will be within that once an innovation. So it's the range between 67.7 and 83.1, so basically we can't count the nineties. We can't count the advice. We can count the eighties. So there were three eighties plus the 7 85 that's 10 so far and then the six seventies, because we can't get so they're 16 out of 25 and a set percentage. So you'll do 16 divided by 25 move your decimal place. That's gonna be 64 percent.
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