Statistics: Percentiles, Coefficient of Variation, and Five Number Summary

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What is the coefficient of variation?

Mean of data divided by its standard deviation, expressed in percent

Standard deviation of data divided by its mean, expressed in percent (correct)

Range of data divided by its interquartile range

Mode of data divided by its median

What is the purpose of the coefficient of variation?

To find the range of data

To compare the relative dispersion of different datasets (correct)

To find the median of data

To find the mode of data

What are the components of the Five Number Summary?

Minimum, Median, Q1, Q3, Maximum

Minimum, Q1, Median, Q3, Maximum (correct)

Minimum, Q1, Q2, Q3, Maximum

Minimum, Mean, Median, Mode, Maximum

What is the purpose of the Five Number Summary?

To summarize the main features of a dataset Signup and view all the answers

What is represented by the lines extending above and below the box in a box plot?

The smallest and largest observations Signup and view all the answers

What do outlying samples typically do in a plot?

Plot outside the range Signup and view all the answers

What shape does a leptokurtotic distribution typically show on a Q-Q plot?

An S-shape Signup and view all the answers

What does a negative skewness value indicate?

A distribution that is left-skewed Signup and view all the answers

What does a box plot typically show?

The five number summary Signup and view all the answers

What is the primary purpose of including a histogram or box plot in a report?

To provide a visual understanding of the distribution Signup and view all the answers

What is the relation between the kurtosis value and the shape of the distribution?

A higher kurtosis value indicates a more heavy-tailed distribution Signup and view all the answers

What is the first quartile (Q1) of a data set?

The median of the first half of the ordered observations Signup and view all the answers

What is the second quartile (Q2) of a data set?

The median of the entire data set Signup and view all the answers

What is the inter-quartile range of a data set?

The difference between the 3rd quartile and the 1st quartile Signup and view all the answers

What is the 25th percentile of a data set?

The first quartile (Q1) Signup and view all the answers

What is the 75th percentile of a data set?

The third quartile (Q3) Signup and view all the answers

If data is divided into 10 equal parts, what are the resulting cut points called?

Deciles Signup and view all the answers

Statistics: Percentiles, Coefficient of Variation, and Five Number Summary

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