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346 501 Questions to Master the GED® Mathematical Reasoning Test 457. The correct answer is $300,000. In order to find the median of a set of data, they must first be put in increasing order and the middle piece of data will be the median. $200,000, $280,000, $280,000, $320,000, $390,000, $424,000 In this case, there are two house prices that make up the middle of the data, so we must take the average of those: 280,000 + 320,000________________ 2 = 300,000. So the median house price in this neighborhood is $300,000 458. The correct answer is choice b. To find the median number of pencils, we first need to find out the total number of students who were in class that day. Add the frequency for each bar: 12 + 10 + 8 + 4 + 6 = 40 students. The median will be the piece of data that is right in the middle when the individual entries are put in increasing order. Since this is an even number of data entries, the middle piece will be the average of the 20th and 21st piece of data. Use the bars to count the data points: Since there are 12 students who brought 0 pencils and 10 students who brought 1 pencil, we know that the 20th and 21st pieces of data are both going to be in the column of students who brought 1 pencil, so the median is 1 (choice b). Choice a is incorrect because you chose the mode, which is the most frequent piece of data, but the median is the middle piece of data, once the data has been organized from least to greatest. Choice c is incorrect because although 2 is in the middle of the bar graph’s horizontal axes, there are 40 different pieces of data dis- played in the bar graph, and the median will be the average of the 20th and 21st pieces of data, which are in the column for 1 pencil. (There are 12 pieces of data in the first column for 0 pencils, and then there are 10 pieces of data in the second column for 1 pencil, so the 20th and 21st pieces of data are there.) Choice d is incorrect because you chose the maximum number of pencils students had, but not the median. 501_MathQues_09_313-362.indd 346 7/26/17 4:04 PM