Find the mean, median, mode and range of the number set {18, 27, 38, 45, 72, 72, 87, 91, 101}. Choose correct ans
Question
Find the mean, median, mode and range of the number set {18, 27, 38, 45, 72, 72, 87, 91, 101}. Choose correct ans
Solution
Sure, let's calculate each of these step by step:
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Mean: This is the average of all the numbers. You add them all up and then divide by the number of numbers.
(18 + 27 + 38 + 45 + 72 + 72 + 87 + 91 + 101) ÷ 9 = 551 ÷ 9 = 61.22 (rounded to two decimal places)
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Median: This is the middle number when the numbers are listed in order. If there is an even number of numbers, the median is the average of the two middle numbers.
In this case, the numbers are already in order and there are 9 numbers, so the median is the 5th number, which is 72.
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Mode: This is the number that appears most frequently.
In this case, the number 72 appears twice, more than any other number, so the mode is 72.
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Range: This is the difference between the highest and lowest numbers.
In this case, the highest number is 101 and the lowest number is 18, so the range is 101 - 18 = 83.
So, the mean is 61.22, the median is 72, the mode is 72, and the range is 83.
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