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Question
based on the two data sets represented below, complete the following sentences. data set t data set u answer although 1 out of 2 the center of data set t is than the center of data set u. the spread of data set t is than the spread of data set u.
Step1: Identify the center measure
For box - and - whisker plots, the median represents the center. In Data Set T, the median (the line inside the box) is around 82. In Data Set U, the median is around 84. So the center of Data Set T is less than the center of Data Set U.
Step2: Identify the spread measure
The inter - quartile range (IQR) is a measure of spread. For Data Set T, the IQR (length of the box) is from approximately 79 to 85, so IQR_T=85 - 79 = 6. For Data Set U, the IQR is from approximately 80 to 88, so IQR_U=88 - 80 = 8. Also, the range (maximum - minimum) of Data Set T is less than that of Data Set U. So the spread of Data Set T is less than the spread of Data Set U.
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