The government wants to find out how much television people watch in different parts of the UK. To do this they ask people in Scotland and England how many hours of television they watch in a week. Below are the data sets representing how many hours a group of English and Scotish adults spend watching television in a week. What is the difference between the medians of each data set? Scotland: \( 25,47,10,49,49,46,89,30,44,46 \) England: \( 32,20,49,17,91,2,27,17,47,46 \)

To find the medians of each data set, you first need to arrange the numbers in ascending order and then determine the middle value. For Scotland: The sorted data set is \( 10, 25, 30, 44, 46, 46, 47, 49, 49, 89 \). Since there are 10 values (an even number), the median is the average of the 5th and 6th values, which are both 46. Therefore, the median for Scotland is \( 46 \). For England: The sorted data set is \( 2, 17, 17, 20, 27, 32, 46, 47, 49, 91 \). Similarly, for this data set, the median is the average of the 5th and 6th values, \( 27 \) and \( 32 \), which is \( 29.5 \). Now, to find the difference between the medians: \( 46 (Scotland) - 29.5 (England) = 16.5 \). Thus, the difference between the medians of each data set is \( 16.5 \).