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In a skewed distribution, the mean is heavily influenced by outliers or extreme values. For example, in a positively skewed distribution (right-skewed), where the tail is extended to the right, the mean will be greater than the median because the extreme high values push the mean to the right. The median, however, represents the middle value and is less affected by the extreme values, making it a more reliable measure of central tendency in skewed data. Therefore, the median is often preferred in the presence of outliers and skewness. The mode, while useful in some cases, does not always represent the center in skewed data and can sometimes be non-representative. Why Other Options Are Incorrect: • A: The mean, median, and mode are not equal in a skewed distribution. This occurs only in symmetric distributions like the normal distribution. • B: In a positively skewed distribution, the mean is greater than the median, not less. • C: While the mode represents the most frequent value, it is not always the most reliable measure of central tendency, particularly in skewed distributions. • E: The mode does not necessarily have to be greater than the median in skewed distributions.
The major maize producing districts in Rajasthan are -
Which earthquake measuring scale is based on Earth's rigidity and the amount and area of slip on the fault?
Which of the following is not correctly matched?
Norman Borlaug was given Nobel Prize in which field?
Which of the following pairs of State and formation year is/are correct?
I. Nagaland - 1972
II. Uttarakhand - 2000
III. Arunachal Pradesh - 1987
A. his subjects wisely
B. was a very kind and generous
C. king who looked after
D. everyone said that he
Where has the Constitution Park been inaugurated in Rajasthan by President Draupadi Murmu?
Which blood cells are called 'Soldiers' of the body?
What is the range of the intensity scale used in measuring earthquakes?