Symmetric and Skewed Data (Grade 11 NSC Matric Mathematics): Quizzes

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Symmetric and Skewed Data
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In a symmetric distribution, what is the relationship between the mean and median?

mean≈median\text{mean} \approx \text{median}

In a right-skewed distribution, how does the mean compare to the median?

mean>median\text{mean} > \text{median}

In a left-skewed distribution, what is true about the mean and median?

mean<median\text{mean} < \text{median}

In a right-skewed box plot, where is the median positioned?

Closer to Q₁ than Q₃

Where does the median sit in a box plot for symmetric data?

Halfway between Q₁ and Q₃

What tail characteristic identifies a right-skewed distribution?

Long right tail, short left tail

What determines the direction of skew in a distribution?

The direction of the longer tail

Why does the mean shift in right-skewed data?

Large values in right tail pull mean up

In a left-skewed distribution, where does the peak appear?

On the right side

What is another name for a right-skewed distribution?

Positively skewed

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