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Find the median of the following sets of data. a) 79, 81, 89, 81, 78, 82, 84, 76 b) 16, 23, 18, 13, 15, 20, 9, 11, 14, 18, 12, 15, 16, 20 c) 2,3,9, 5, 7, 4, 3,9, 6, 8, 7, 1, 4,3​

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Answer:

a) To find the median of the first set of data {79, 81, 89, 81, 78, 82, 84, 76}, we arrange the data in ascending order: 76, 78, 79, 81, 81, 82, 84, 89. Since there are 8 data points, the middle value would be the 4th value, which is 81. Therefore, the median is 81.

b) To find the median of the second set of data {16, 23, 18, 13, 15, 20, 9, 11, 14, 18, 12, 15, 16, 20}, we arrange the data in ascending order: 9, 11, 12, 13, 14, 15, 15, 16, 16, 18, 18, 20, 20, 23. Since there are 14 data points, the two middle values would be the 7th and 8th values, which are 16 and 16. Therefore, the median is the average of 16 and 16, which is 16.

c) To find the median of the third set of data {2, 3, 9, 5, 7, 4, 3, 9, 6, 8, 7, 1, 4, 3}, we arrange the data in ascending order: 1, 2, 3, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 9. Since there are 14 data points, the two middle values would be the 7th and 8th values, which are 4 and 4. Therefore, the median is the average of 4 and 4, which is 4.

Explanation:

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