Measures of Dispersion (Grade 10 NSC Matric Mathematics): Quizzes

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Measures of Dispersion
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What is the range of the data set: {3, 7, 12, 15, 8, 5}?

12

Why is the range sensitive to outliers in a data set?

It only considers extreme values

For n=20n=20, what rank corresponds to the 75th percentile using r=p100(n−1)+1r = \frac{p}{100}(n-1) + 1?

15.25

The median is equivalent to which percentile?

50th percentile

What percentile is the first quartile (Q1)?

25th percentile

If Q1 = 12 and Q3 = 28, what is the interquartile range?

16

How many equal groups do deciles divide an ordered data set into?

Ten groups

Why is IQR more robust than range when dealing with outliers?

It focuses on the middle 50% of data

What do you do when a rank is not a whole number?

Take value halfway between two values

What must you do before calculating any percentile-based measures?

Sort the data set

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