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Question

Compare the data sets given below and identify the correct statements.




Statement I: Data A is symmetric. Hence, it is easier to find the center of the data.
Statement II: Data B is skewed. Hence, it is easier to find the center of the data.
Statement III: Data A is skewed.
Statement IV: Data B is right-skewed

A
Statements I and II are correct.
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B
Statements I and IV are correct.
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C
Statements IV and II are correct.
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D
Statements II and IV are correct.
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Solution

The correct option is B Statements I and IV are correct.

Data A is symmetric.
We also know that it is easier to find the center of the data when the distribution is symmetric than when it is skewed.
Hence, statement I is true.
And if statement I is true, then statement II and statement III are false.


Data B is right-skewed because most of the data is on the left, and the tail of the line plot extends to the right.
Hence, statement IV is true

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