 # The sets of data below show the heights, in inches, of students in two different preschool classes. A box plot titled Class 1. The number line goes from 38 to 49. The whiskers range from 39 to 48, and the box ranges from 40 to 43. A line divides the box at 41. Class 1 A box plot titled Class 2. The number line goes from 38 to 49. The whiskers range from 38 to 49, and the box ranges from 39 to 42. A line divides the box at 41. Class 2 The teachers of the two classes want to compare the heights of their students. Which statements about the data sets are accurate? Select three options. Because the sets are symmetrical, the mean should be used to compare the data sets. Because the sets do not contain outliers, the MAD should be used to compare the data sets. Because the sets are not symmetrical, the IQR should be used to compare the data sets. Because the sets contain outliers, the median should be used to compare the data sets. The mean and mode cannot be accurately determined based on the type of data display.

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145 cents • Because the sets are not symmetrical, the IQR should be used to compare the data sets.

• Because the sets contain outliers, the median should be used to compare the data sets.

• The mean and mode cannot be accurately determined based on the type of data display.

When we observe the set of given data above, we can denote that the data obtained by comparing the height of students from class 1 and class 2 would not be similar hence we can say this obtained data is not symmetrical.

Due to the fact that this data is is obtained from different classes it is certain that there would be variations in the data when measuring the heights of the students and an error may occurs. These variations are referred to as OUTLIERS.

Therefore, Median or Interquartile range is the appropriate measure to be used for comparing the data sets.

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