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The outlier, 78, is removed from the data set shown. 23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78 How does this affect the range?

The range is decreased by 4.
The range is decreased by 16.
The range is decreased by 22.
The range is decreased by 33.

User Prag Rao
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2 Answers

4 votes
The range is decreased by 33.
User Aandis
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5 votes

Answer:

Last Option The range is decreased by 33 is correct.

Explanation:

In this question the data set is given as :

23, 23, 25, 27, 34, 34, 35, 41, 45, 45, 78

As we know data range can be obtained by subtracting the first term and the last term,

in the above data set we subtract the first term from the last

= 78 - 23 = 55

Now if we remove 78 from the data set we find the last value is 45 so the range would be

= 45 - 23 = 22.

As we can see range has decreased by 55 - 22 = 33

The range is decreased by 33

User Diman
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