Asked by Melissa Ferreras on Jul 20, 2024

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Here are summary statistics for the time,in minutes,it took for 20 people to complete an information survey at a walk-in medical clinic.  Count  Mean  Median  StdDev  Min  Max  Q1  Q3 203.233.451.20.47.02.13.8\begin{array} { c | c | c | c | c | c | c | c } \text { Count } & \text { Mean } & \text { Median } & \text { StdDev } & \text { Min } & \text { Max } & \text { Q1 } & \text { Q3 } \\\hline 20 & 3.23 & 3.45 & 1.2 & 0.4 & 7.0 & 2.1 & 3.8\end{array} Count 20 Mean 3.23 Median 3.45 StdDev 1.2 Min 0.4 Max 7.0 Q1 2.1 Q3 3.8 Would you describe this distribution as symmetric or skewed?

A) Skewed to the left,because the mean is smaller than the median and the upper quartile is farther from the median than the lower quartile.
B) Skewed to the right,because the mean is smaller than the median and the lower quartile is farther from the median than the upper quartile.
C) Symmetric,because the mean and the median are close.
D) Skewed to the right,because the mean is larger than the median and the upper quartile is farther from the median than the lower quartile.
E) Skewed to the left,because the mean is smaller than the median and the lower quartile is farther from the median than the upper quartile.

StdDev

A measurement that quantifies the amount of variation or dispersion in a set of data values, same as Standard Deviation.

Mean

The mean value of a collection of numbers, obtained by dividing the total sum of the numbers by the quantity of numbers in the collection.

Median

The middle value in a dataset when it is arranged in ascending or descending order, or the average of the two middle values when the dataset has an even number of observations.

  • Pinpoint and expound upon the contours of data distributions, covering symmetric, leftward skew, and rightward skew.
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Nakia SibleyJul 26, 2024
Final Answer :
E
Explanation :
The distribution is skewed to the left because the mean is smaller than the median and the lower quartile is farther from the median than the upper quartile.