Describing and Comparing Distributions (HSC SSCE Mathematics Standard): Quizzes

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Describing and Comparing Distributions
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What describes a smooth distribution?

Data changes gradually without breaks

A distribution has data concentrated on the left with a long tail to the right. What is this?

Positively skewed

What is a bimodal distribution?

Two distinct peaks or modes

What is a key disadvantage of the mean?

Strongly influenced by outliers

Why is the median preferred when data contains outliers?

Not affected by outliers

Which measure of location can be used with categorical data?

Mode

What is the main disadvantage of the range?

Depends only on two extreme values

What does the interquartile range (IQR) represent?

Spread of the middle 50% of data

For data with outliers, which measures should be used together?

Median and IQR

How is skewness named?

After the tail direction

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