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A teacher is comparing the test scores of two classes. The range of class 1 is 14, and the interquartile range is 7. The range of class 2 is 12, and the interquartile range is 4.

Which of the following BEST explains which class has greater variability?

A
Class 1 has more variability because there is a smaller difference between the range and interquartile range than class 2.
B
Class 1 has more variability because both the range and interquartile range are greater than class 2, meaning the data is more spread out.
C
Class 2 has more variability because both the range and interquartile range are less than class 1, meaning the data is closer together.
D
Class 2 has more variability because both the range and interquartile range are less than class 1, meaning the data is more spread out.

Respuesta :

Class 1 has more variability because both the range and interquartile range are greater than class 2, meaning the data is more spread out.

Importance of range and interquartile range

Range gives the spread of the whole data set, while the interquartile range gives the spread of the middle half of a data set.

  • A high range means a high variability of the data set.
  • A low interquartile range means clustered middle data.

Thus, we can conclude that, Class 1 has more variability because both the range and interquartile range are greater than class 2, meaning the data is more spread out.

Learn more about range here: https://brainly.com/question/2264373

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