Question 13, 2.3.33 HW Score: \( 50.93 \%, 9.17 \) of 18 points Part 5 of 6 Points: 0 of 1 Save The dot plot of time (in minutes) it takes employees to drive to work is shown below. Find the mean, median, and mode of the data. If any measure cannot be found or does not represent the center of the data, explain why. A. The median is \( \square \) 19 (Type an integer or decimal rounded to one decimal place as needed.) B. There is no median for this data set. Does the median represent the center of the data? A. The median represents the center. B. The median does not represent the center because it is the largest value. C. The median does not represent the center because it is not a data value. D. The median does not represent the center because it is the smallest value. E. The data set has no median because the data values are at the nominal level of measurement. Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is/are \( \square \) (Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.) B. There is no mode for this data set.
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To find the mean, median, and mode, you start by organizing the data displayed in the dot plot. The mean is calculated by adding all the values and dividing by the number of entries. The median is the middle value when the data is sorted, or the average of the two middle values if there’s an even number of entries. The mode is the value that appears most frequently. Understanding why the median may not represent the center helps in interpreting data accurately. For example, if the driving times have outliers (very long or very short times), the mean might get skewed. The median can still provide a central value, but if it doesn’t fall within the range of typical driving times, it might not truly reflect the common experience of the employees. To engage further, the best choice for what the median represents is C: the median does not represent the center because it is not a data value, especially if it’s an average between two times that don’t actually exist in your data set. As for the mode, look for the most frequent dot on your plot, which typically signals how many people share the same driving duration!
