Asked by Brianna Margaret on Apr 23, 2024
Verified
In a histogram,the proportion of the total area which must be to the right of the mean is exactly 0.50 if the distribution is symmetric and unimodal.
Histogram
A graphical representation of the distribution of numerical data, showing the frequency of data points within successive intervals.
Proportion
The ratio of a part to the whole, often expressed as a fraction, decimal, or percentage.
Symmetric
Describes a shape or distribution that is mirrored evenly around its central point.
- Gain an understanding of how the mean and median behave in distributions characterized by symmetry and skewness.
Verified Answer
GW
Gursimran WarainchMay 02, 2024
Final Answer :
True
Explanation :
In a symmetric and unimodal distribution, the mean is the same as the median and divides the data into two equal parts. Therefore, exactly 50% of the total area must be to the right of the mean and 50% to the left, which is reflected in the shape of the histogram.
Learning Objectives
- Gain an understanding of how the mean and median behave in distributions characterized by symmetry and skewness.
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