Below arc summary statistics for the sizes (in acres) of some local vineyards. U

Question

Below arc summary statistics for the sizes (in acres) of some local vineyards. Using the summary statistics, complete parts through below. Variable N Mean StDcv Minimum Q1 Median Q3 Maximum Acres 36 48.50 47.42 6 17.97 33.00 57.86 250 From the summary statistics, would you describe this distribution as symmetric or skewed? Explain. Choose the correct answer below. This distribution is symmetric, because the mean and median are reasonably close to one another and the quartilcs arc approximately the same distance from the mean. This distribution is skewed, because the mean and median are not reasonably close to one another. This distribution is symmetric, because the mean and median are reasonably close to one another and the extreme values are approximately the same distance from the median. From the summary statistics, are there any outliers? Explain. Choose the correct answer below. Yes, because the minimum value in the distribution is less than the lower fence and the maximum value is greater than the upper fence. No, because all the values in the distribution are between the fences. Yes, because the maximum value is far greater than the upper fence. Yes, because the minimum value in the distribution is less than the lower fence.

Explanation / Answer

B)

Here,

IQR = Q3 - Q1 = 57.86 - 17.97 = 39.89

Hence,

Lower fence = Q1 - 1.5IQR = 17.97 - 1.5*39.89 = -41.865

Upper fence = Q3 + 1.5IQR = 57.86 + 1.5*39.89 = 117.695

Whatever data which are not between these two numbers are outliers.

As we can see, the maximum value is far greater than the upper fence.

THEREFORE, IT IS OPTION C. [ANSWER]

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