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The number in the middle of a data set best describes which of the following? (4 points)MeanMedianRangeMean absolute deviation

Question

The number in the middle of a data set best describes which of the following?

  • Mean
  • Median
  • Range
  • Mean absolute deviation
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Solution

To determine which term best describes the number in the middle of a data set, let's analyze each option:

  1. Mean: This is the average of all the numbers in the data set. It is calculated by adding all the numbers together and then dividing by the total count of numbers. The mean does not necessarily represent the middle value of the data set.

  2. Median: This is the middle number in a data set when the numbers are arranged in ascending or descending order. If there is an odd number of observations, the median is the middle number. If there is an even number of observations, the median is the average of the two middle numbers. The median specifically represents the middle value of the data set.

  3. Range: This is the difference between the highest and lowest values in the data set. It measures the spread of the data but does not describe the middle value.

  4. Mean absolute deviation: This is the average of the absolute differences between each data point and the mean of the data set. It measures the dispersion of the data but does not describe the middle value.

Given these definitions, the term that best describes the number in the middle of a data set is the Median.

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The number in the middle of a data set best describes which of the following? (4 points)MeanMedianRangeMean absolute deviation

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