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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.
Select the most appropriate option to fill in the blank.
A ______ mind rarely meets a dead end; it continues the search for the answers.
Children need ___________ to make sense of their internal and external worlds.
Stretching helps prevent lower back pain __________ tightness in the lower body.
Select the most appropriate option to fill in the blank.
The antique store was filled with a ___________ collection of rare artifacts from aro...
The startup is growing quickly, but they need to ensure they don’t _______ and make careless mistakes.
Choose the most suitable option to fill in the blanks in the sentences below.
The project became so expensive that we had __________.
The team held on by the skin of their teeth to win the crucial match.
1) impressed
2) daunted
3) motivated
4) happy
5) cultivated
The _________ about teachers is that they are too preoccupied with cultivating professional excellence to bother about connectedness.
Fill in the blank with the most appropriate word.
She ______ her pearly white teeth in a broad smile.