Question

What is the mean, median and mode of the following data? 8, 12, 14, 8, 9, 5, 17, 19, 31, 8 A.mean = 10.5, median = 13.1, mode = 8 B.mean = 13.1, median = 10.5, mode = 8 C.mean = 8, median = 13.1, mode = 10.5 D.mean = 10.5, median = 8, mode = 13.1

Answer 1

Answer: Choice B

mean = 13.1

median = 10.5

mode = 8

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Step-by-step explanation:

original data set = {8, 12, 14, 8, 9, 5, 17, 19, 31, 8}

sorted data set = {5, 8, 8, 8, 9, 12, 14, 17, 19, 31}

Sorting the data set is essential to finding the median

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To get the mean, we add up all the values and divide by 10

mean = (5+8+8+8+9+12+14+17+19+31)/10 = 131/10 = 13.1

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focus on the sorted set

sorted data set = {5, 8, 8, 8, 9, 12, 14, 17, 19, 31}

There are 10 items in the set. The middle most value will be exactly between slot 5 and slot 6, as these two slots are tied for the middle. In these slots are the values 9 and 12. They average to (9+12)/2 = 21/2 = 10.5, which is the median

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The mode is the most frequent or most occurring value. In this case, it would be 8 as it occurs the most times at three times.