Center, Shape, & Spread of Data - SAT Math
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Question
What is the median of the data set: 3, 7, 9, 2, 4?
What is the median of the data set: 3, 7, 9, 2, 4?
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Answer
The median is 4. Middle value when ordered: 2, 3, 4, 7, 9.
The median is 4. Middle value when ordered: 2, 3, 4, 7, 9.
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Question
Identify the shape of a distribution with a long right tail.
Identify the shape of a distribution with a long right tail.
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Answer
The shape is right-skewed. Long tail extends toward higher values on the right.
The shape is right-skewed. Long tail extends toward higher values on the right.
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Question
Which measure of center is most affected by outliers?
Which measure of center is most affected by outliers?
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Answer
The mean is most affected. Outliers pull the mean toward extreme values.
The mean is most affected. Outliers pull the mean toward extreme values.
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Question
What is the mean of the data set: 4, 8, 6, 10, 2?
What is the mean of the data set: 4, 8, 6, 10, 2?
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Answer
The mean is 6. Sum all values (30) and divide by count (5).
The mean is 6. Sum all values (30) and divide by count (5).
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