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A Survey Conducted in a College Intro Stats Class Asked

question 81

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A survey conducted in a college intro stats class asked students about the number of credit hours they were taking that quarter. The number of credit hours for a random sample of 16 students is given in the table. 10101214151515151717192020202022\begin{array} { | l | l | l | l | l | l | l | l | } \hline 10 & 10 & 12 & 14 & 15 & 15 & 15 & 15 \\\hline 17 & 17 & 19 & 20 & 20 & 20 & 20 & 22 \\\hline\end{array}
-a. Sketch a histogram of these data
b. Find the mean and standard deviation for the number of credit hours.
c. Find the median and IQR for the number of credit hours.
d. Is it more appropriate to use the mean and standard deviation or the median and IQR to
summarize theses data? Explain.

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Definitions:

Standard Deviation

A statistic that measures the dispersion or variation of a set of values from their mean, indicating how spread out the values are.

Allowable Sampling Error

The maximum error that can be tolerated in the results from a sample survey, determined by the researcher.

Confidence Level

The probability that a confidence interval will capture the true population parameter, expressed as a percentage.

Population Variance

The average of the squared differences from the Mean, for the entire population.

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