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In: Statistics and Probability

An average is an attempt to summarize a collection of data into just one number. Discuss...

An average is an attempt to summarize a collection of data into just one number. Discuss how the mean, median, and mode all represent averages on this context. Also discuss the differences among these averages. Why is the mean a balance point? Why is the median a midway point? Why is the most common data point? List three areas of daily life in which you think one of the mean, median or mode would be the best choice to describe an “average.”

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Expert Solution

Answer :

  • An extent of central affinity is a single worth that depicts a great deal of data by recognizing the central circumstance in set of data.
  • The mean, median and mode are through and through considerable extents of central penchant, anyway under various conditions, a couple of extents of central tendency become more reasonable than others.
  • The mean (or simply ordinary) is the most standard extent of central affinity. It is used with both discrete and constant data.
  • The mean is proportionate to the sum of the impressive number of characteristics in the information divided by the amount of characteristics in the enlightening assortment. It is outstandingly affected by the skewed data.
  • The median or center is the inside score for a ton of data that has been arranged in order by enormity. The median is less impacted by special cases and skewed data.
  • The mode is the most standard score in our educational record.

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