Question

based on the two data sets represented below, complete the following sentences.

data set t	data set u
95	105
66	121
193	171
179	149

answer attempt 1 out of 2

the median of data set t is than the median of data set u. the maximum of data set t is than the maximum of data set u.
dropdown options for the second blank: greater, less

Explanation:

Step1: Find median of Data Set T

First, order Data Set T: \(66, 95, 122, 179, 193\). The median is the middle value, so the 3rd value: \(122\).

Step2: Find median of Data Set U

Order Data Set U: \(23, 105, 121, 149, 171\). The median is the 3rd value: \(121\).
Compare medians: \(122>121\), so median of T is greater than U.

Step3: Find maximum of Data Set T

Max of T: \(193\).

Step4: Find maximum of Data Set U

Max of U: \(171\).
Compare maxima: \(193>171\), so max of T is greater than U.

Answer:

The median of Data Set T is greater than the median of Data Set U. The maximum of Data Set T is greater than the maximum of Data Set U.