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A Survey Conducted in a College Intro Stats Class Asked 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}

question 96

Essay

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 these data? Explain.


Definitions:

Histogram

A graphical representation of the distribution of numerical data, where the data are grouped into ranges and depicted as bars.

Modal Class

The class interval with the highest frequency in a frequency distribution, representing the most common category or range of data.

Observations

The collection of data points or information obtained through watching, measuring, or recording something.

Histogram

A graphical representation of data using bars of different heights to show the frequency distribution of a dataset.

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