Asked by AbdulAhad Nasir on Jun 29, 2024

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On a negatively skewed curve, which of the following is true?

A) The mean is lower than the mode, which is lower than the median.
B) The mean is lower than the median, which is lower than the mode.
C) The mode is lower than the mean, which is lower than the median.
D) The median is lower than the mode, which is lower than the mean.
E) The mean, median, and mode is the same.

Negatively Skewed Curve

A set of test scores where the majority fall at the upper or positive end. It is said to be a negatively skewed curve or distribution because a few “negative” or low-end scores have stretched or skewed the curve to the left.

Median

A statistical measure representing the middle value in a sorted list of numbers, effectively dividing the data set into two halves.

  • Investigate the lack of symmetry in data distributions and correctly establish the associations between mean, median, and mode in uneven distributions.
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ZK
Zybrea KnightJul 01, 2024
Final Answer :
B
Explanation :
On a negatively skewed curve, the tail is longer on the left side and the majority of data is concentrated on the right side of the curve. In this situation, the mean will be pulled towards the left side, lowering its value. Therefore, the mean will be lower than the median which is less influenced by outliers. The mode, which represents the most frequently occurring value, will be even further to the right, making it the highest value. Therefore, the correct order is mean < median < mode, making choice B the correct answer.