Asked by PATRICKJOHN ANDRES on Sep 24, 2024
Verified
In a perfectly symmetric distribution,which of the following statements is false?
A) The distance from Q1 to Q2 equals to the distance from Q2 to Q3.
B) The distance from the smallest observation to Q1 is the same as the distance from Q3 to the largest observation.
C) The distance from the smallest observation to Q2 is the same as the distance from Q2 to the largest observation.
D) The distance from Q1 to Q3 is half of the distance from the smallest to the largest observation.
Perfectly Symmetric Distribution
A type of statistical distribution where the data is uniformly distributed around the mean, showing mirror image halves on either side.
- Acquire insight into how data distributions (like positively skewed or symmetric) affect summary statistics.
Verified Answer
NS
Nauman Saeed3 days ago
Final Answer :
D
Explanation :
In a perfectly symmetric distribution, the distance from the smallest observation to the median is equal to the distance from the median to the largest observation. Therefore, the distance from Q1 to Q3 is half of the distance from the smallest to the largest observation, making statement D false. Statements A, B, and C are true in a perfectly symmetric distribution.
Learning Objectives
- Acquire insight into how data distributions (like positively skewed or symmetric) affect summary statistics.
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