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Find the median and mean of the data set below:40, comma, 8, comma, 31, comma, 340,8,31,3

Question

Find the median and mean of the data set below:40, comma, 8, comma, 31, comma, 340,8,31,3

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Solution 1

Sure, let's start with arranging the data set in ascending order: 3, 8, 31, 40.

  1. To find the median: The median is the middle number in a sorted, ascending or descending, list of numbers. If there is an even number of observations, the median will be the average of the two middle numbers. In this case, we have an even number of observations (4), so the median is the average of the second and third numbers.

Median = (8 + 31) / 2 = 19.5

  1. To find the 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.

Mean = (3 + 8 + 31 + 40) / 4 = 20.5

So, the median of the data set is 19.5 and the mean is 20.5.

This problem has been solved

Solution 2

Sure, let's start with arranging the data set in ascending order: 3, 8, 31, 40.

  1. To find the median: The median is the middle number in a sorted, ascending or descending, list of numbers. If there is an even number of observations, the median will be the average of the two middle numbers. In this case, we have an even number of observations (4), so the median is the average of the second and third numbers.

Median = (8 + 31) / 2 = 19.5

  1. To find the mean: The mean is the average of all numbers and is sometimes called the arithmetic mean. This would be calculated by adding all numbers in the data set and then dividing by the number of values in the set.

Mean = (3 + 8 + 31 + 40) / 4 = 20.5

So, the median of the data set is 19.5 and the mean is 20.5.

This problem has been solved

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