BACHELOR OF BUSINESS ADMINISTRATION

BUSINESS ADMINISTRATION

BUSINESS ECONOMICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
For a set of data with a distribution skewed to the left ____
A
the mean is equal to the median
B
the mean is lower than the median
C
the mean is greater than the median
D
the median is greater than the mean
Explanation: 

Detailed explanation-1: -The mean is affected by outliers that do not influence the mean. Therefore, when the distribution of data is skewed to the left, the mean is often less than the median. When the distribution is skewed to the right, the mean is often greater than the median.

Detailed explanation-2: -Generally, if the distribution of data is skewed to the left, the mean is less than the median, which is often less than the mode. If the distribution of data is skewed to the right, the mode is often less than the median, which is less than the mean.

Detailed explanation-3: -A distribution is called skewed left if, as in the histogram above, the left tail (smaller values) is much longer than the right tail (larger values). Note that in a skewed left distribution, the bulk of the observations are medium/large, with a few observations that are much smaller than the rest.

Detailed explanation-4: -Right skewed: The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution. Left skewed: The mean is less than the median. The mean underestimates the most common values in a negatively skewed distribution.

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