Here are the prices of five new skateboards, in dollars

The correct answer is: Option (A) The new standard deviation is greater than $27.

Explanation:

The given sample set is the following:

75, 82, 100, 120, 140.

To find the new standard deviation, add the sixth skateboard to the above sample set, as follows:

75, 82, 100, 120, 140, 450.

Now we have 6 elements in the sample set.

Step-1: Find the mean of the new sample set.

Where, n is the total number of elements in the sample set. In this case, n=6.

Step-2: Find the variance ().

Step-3: Find the new standard deviation.

Standard deviation is the square-root of variance.

New standard deviation ($143.53) is greater than the standard deviation ($27) without the sixth skateboard sample in sample set.

Conclusion: The Option (A) The new standard deviation is greater than $27 is the right answer.

0.32

step-by-step explanation:

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