Asked by William McGinnis on Jul 04, 2024

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In a histogram, the proportion of the total area which must be to the left of the median is less than 0.50 if the distribution is skewed to the left.

Histogram

A graphical display of data using bars of different heights to show the frequency distribution of a dataset.

Median

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

Skewed

A distribution that is not symmetrical, indicating that the data tends to lean towards the left (negatively skewed) or right (positively skewed) of the average.

  • Grasp and quantify the mean and median across distributions that showcase both symmetry and skewness.
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Aodhbha DonovanJul 11, 2024
Final Answer :
False
Explanation :
In a histogram, regardless of whether the distribution is skewed to the left or right, the median divides the data such that approximately 50% of the total area of the histogram is to the left of the median and 50% is to the right. Skewness affects the shape and spread of the data, not the median's property of dividing the data into two equal parts by area.