248 261 268 273 275 279 282 283 284 284 287 288 289 292 293 296 296 299 310 504 B. There are no outliers The median is square pounds (Type an integer or decimal rounded to one decimal place as needed.) The untrimmed mean is square pounds. (Type an integer or decimal rounded to one decimal place as needed.) The 10% trimmed mean is square pounds (Type an integer or decimal rounded to one decimal place as needed.) The 20% trimmed mean is square pounds. (Type an integer or decimal rounded to one decimal place as needed.)

the median, we need to arrange the data in ascending order and find the middle value. Since there are 20 data points, the median will be the average of the 10th and 11th values.<br /><br />Arranging the data in ascending order:<br />$248, 261, 268, 273, 275, 279, 282, 283, 284, 284, 287, 288, 289, 292, 293, 296, 296, 299, 310, 504$<br /><br />The median is the average of the 10th and 11th values:<br />Median = (284 + 284) / 2 = 284<br /><br />To find the untrimmed mean, we need to add up all the data points and divide by the total number of data points.<br /><br />Sum of all data points = 248 + 261 + 268 + 273 + 275 + 279 + 282 + 283 + 284 + 284 + 287 + 288 + 289 + 292 + 293 + 296 + 296 + 299 + 310 + 504 = 5735<br /><br />Untrimmed mean = 5735 / 20 = 286.75<br /><br />To find the 10% trimmed mean, we need to remove the lowest 10% and highest 10% of the data points and then calculate the mean of the remaining data points.<br /><br />Removing the lowest 10% and highest 10% of the data points:<br />$268, 273, 275, 279, 282, 283, 284, 284, 287, 288, 289, 292, 293, 296, 296, 299$<br /><br />10% trimmed mean = (268 + 273 + 275 + + + 284 + 284 + 287 + 288 + 289 + 292 + 293 + 296 + 296 + 299) / 16 = 284.75<br /><br />To find the 20% trimmed mean, we need to remove the lowest 20% and highest 20% of the data points and then calculate the mean of the remaining data points.<br /><br />Removing the lowest 20% and highest 20% of the data points:<br />$268, 273, 275, 279, 282, 283, 284, 284, 287, 288, 289, 292, 293$<br /><br />20% trimmed mean = (268 + 273 + 275 + 279 + 282 + 283 + 284 + 284 + 287 + 288 + 289 + 292 + 293) / 13 = 283.23<br /><br />Therefore, the answers are:<br />The median is 284 pounds.<br />The untrimmed mean is 286.75 pounds.<br />The 10% trimmed mean is 284.75 pounds.<br />The 20% trimmed mean is 283.23 pounds.