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quartile

A.The extent to which values in a data set vary comma either from one another or from the center
The extent to which values in a data set vary comma either from one another or from the center
B.each of four equal groups into which a population can be divided according to the distribution of values of a particular variable.
each of four equal groups into which a population can be divided according to the distribution of values of a particular variable.
C.The difference between the lowest and the highest number in a data set.
The difference between the lowest and the highest number in a data set.
D.one possible measure of spread comma based on dividing a dataset into four parts. The values that divide each part are called the first quartile left parenthesis Upper Q 1 right parenthesis comma the median comma and third quartile left parenthesis Upper Q 3 right parenthesis . IQR is calculated as Upper Q 3 minus Upper Q 1.
one possible measure of spread comma based on dividing a dataset into four parts. The values that divide each part are called the first quartile left parenthesis Upper Q 1 right parenthesis comma the median comma and third quartile left parenthesis Upper Q 3 right parenthesis . IQR is calculated as Upper Q 3 minus Upper Q 1.

1 answer

The term "quartile" is best defined by option B:

B. Each of four equal groups into which a population can be divided according to the distribution of values of a particular variable.

Option D also discusses quartiles but focuses more on the specific calculations and measures of spread associated with them, such as the interquartile range (IQR). However, it does not provide the basic definition of what quartiles are.

To clarify further:

  • First quartile (Q1) is the value that separates the lowest 25% of the data.
  • Second quartile (Q2 or median) is the value that separates the lowest 50% from the highest 50%.
  • Third quartile (Q3) is the value that separates the lowest 75% of data from the highest 25%.

The interquartile range (IQR) is indeed calculated as \( Q3 - Q1 \), which measures the spread of the middle 50% of the data.