Question Help The histogram to the right shows the amount of oil produced (in ga

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Question Help The histogram to the right shows the amount of oil produced (in gallons) from an acre of land in a country for 35 different crops. Which summary statistics would you choose to summarize the center and spread in these data? Why? 8- 0 100 200 300 400 500 600 Gallons per Acre Which summary statistics would you choose to summarize the center and spread in these data? Why? 0 A. The median and standard deviation because the distribution is unimodal and symmetric. O B. The mean and IQR because the distribution is strongly skewed. O C. The median and IQR because the distribution is strongly skewed O D. The mean and standard deviation because the distribution is unimodal and symmetric. Click to select your answer

Explanation / Answer

Solution:-)

As the above distribution is skewed or possibly multimodal, it’s not immediately clear what we even mean by the center.One reasonable choice of typical value is the value that is literally in the middle, with half the values below it and half above it. Now, we need to measure how much the data values vary around the center. In other words, how spread out are they?

A better way to describe the spread of a variable ignores the extremes as in above distributionthe gaps are there , it means they necessarily containl outliers , So, one should concentrates on the middle half of the data. What do we mean by the middle half? Divide the data in half at the median. Now divide both halves in half again, cutting the data into four quarters. We call these new dividing points quartiles. One quarter of the data lies below the lower quartile, and one quarter of the data lies above the upper quartile, so half the data lies between them. The quartiles border the middle half of the data.

Option (c) is correct i.e. The median and IQR because the distribution is strongly skewed.

CHEERS!!

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