A group of 17 young children were tested to see how long it took each of them to assemble a set of interconnecting bricks. Their times (in seconds) are shown here. 8, 12, 16, 23, 24, 25, 25, 27, 28, 30, 31, 31, 32, 32, 40, 48, 51 Calculate the Mean, Median & Mode of the data set.
Question
A group of 17 young children were tested to see how long it took each of them to assemble a set of interconnecting bricks. Their times (in seconds) are shown here. 8, 12, 16, 23, 24, 25, 25, 27, 28, 30, 31, 31, 32, 32, 40, 48, 51 Calculate the Mean, Median & Mode of the data set.
Solution
Sure, let's calculate the Mean, Median and Mode of the data set.
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Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
In this case, the sum of all the numbers is 8+12+16+23+24+25+25+27+28+30+31+31+32+32+40+48+51 = 513
The total number of data points is 17.
So, the mean is 513 / 17 = 30.18 (rounded to two decimal places)
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Median: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
The list is already sorted, so the median is the middle number. Since we have 17 numbers, the middle number will be the 9th number.
So, the median is 28.
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Mode: The mode is the number that is repeated more often than any other, so 25 and 31 are the modes because they appear twice each, more than any other number.
So, the mean is 30.18, the median is 28, and the modes are 25 and 31.
Similar Questions
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