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Answer :
In the given set, Mean: 83.13, Median: 89, Mode: 89, Range: 26.
Mean: Mean is the average of all numbers of the given set. It can be calculated by taking the sum of the numbers in the given set and dividing it by the total number of the elements of the given set.
Here, there are 8 elements in the given set and the sum of the elements is 665, hence the mean is,
[tex]\frac{70+73+90+94+92+89+68+89}{8}[/tex]
[tex]\frac{665}{8}[/tex]
[tex]83.13[/tex] (Rounded off to two decimal places)
Median: Median is a number that separates the entire set equally. Before finding the median of any set, make sure that the set is arranged in ascending order.
- For the sets with an odd number of data, it is the middle number present in the set,
- For the sets with an even number of data, it is the average of the two numbers present in the middle.
Here, the total number of elements is 8, which is even.
After arranging the set in ascending order, we get the following set-
(68,70,73,89,89,90,92,94)
Here, the middle two numbers are 89 and 89, therefore, the mean will be 89 too. Therefore, the median of the given set is 89.
Mode: The mode is the most recurring element in the given set. In the given set, element 89 repeats twice, therefore 89 is the mode of the given set.
Range: The range of a set is the difference between the highest element and the lowest element.
In the given set, the highest element is 94 and the lowest element is 68.
Hence the range is 94-68=26.
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