Quartiles and Interquartile Range (HSC SSCE Mathematics Advanced): Quizzes

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Quartiles and interquartile range
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What percentage of the data does the lower quartile (Q1Q_1) separate from the rest?

The lowest 25%

What is the critical first step before finding quartiles?

Arrange data in ascending order

How is the interquartile range (IQR) calculated?

Q3−Q1Q_3 - Q_1

Why is the IQR considered a robust measure of spread?

Not affected by extreme values

Which values comprise the five-number summary?

Min, Q1Q_1, Q2Q_2, Q3Q_3, Max

In a box plot, what does the box itself contain?

The middle 50% of the data

Using the IQR criterion, when is a score classified as an outlier?

More than 1.5×1.5 \times IQR from Q1Q_1 or Q3Q_3

When finding quartiles with an odd number of scores, what happens to the median?

It is omitted from both sublists

When should median and quartiles be used instead of mean and standard deviation?

When outliers might distort the picture

How is data described when it is 'skewed to the right'?

The tail extends further to the right

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