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Question

What is the mean, median and mode of the following data? 14, 22, 18, 12, 14, 8, 4, 12, 32, 12 A) mean = 12, median = 14.8, mode = 13 B) mean = 13, median = 12, mode = 14.8 C) mean = 13, median = 14.8, mode = 12 D) mean = 14.8, median = 13, mode = 12

Answer

The mean of the set is 14.8, the median is 13, and the mode is 12. Step-by-step explanation: To find the mean, we add up all of the values in the set (14, 22, 18, 12, 14, 8, 4, 12, 32, and 12) and then divide by the total number of values (which is 10). This gives us a mean of 14.8. To find the median, we first need to place the values in order from smallest to greatest: 4, 8, 12, 12, 12, 14, 14, 18, 22, 32. The median is the middle value in this set - in this case, it is 13 (the average of 12 and 14). Finally, we can find the mode by determining which value occurs most frequently in the set. In this case, 12 appears three times, while all of the other values appear only once or twice. Therefore, the mode is 12.