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Arlecino [84]
2 years ago
10

Working with the Concepts.

Mathematics
1 answer:
Softa [21]2 years ago
6 0

The standard deviation of the mileage for the sample of convertibles is 1.98977 miles.

<h3>What is standard deviation? </h3>

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

<h3>What is the standard deviation of the mileage? </h3>

In order to determine the standard deviation, take the following steps:

  • Determine the mean of the observation:

(25 + 25 + 24 + 21 + 21 + 21 + 20) / 7 =22.43

  • Determine the difference between each value and the mean and then square the result:

(25 - 22.43)² = 6.6049

(25 - 22.43)² = 6.6049

(24 - 22.43)² = 2.4649

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(21 - 22.43)² = 2.0449

(20 - 22.43)² = 5.9049

Sum of squared difference = 27.7143

  • Determine the mean of the square differences and then find the square root of the mean:

√27.7143 / 7 = 1.98977

To learn more about standard deviation, please check: brainly.com/question/12402189

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The Pythagorean theorem tells us if you square both the legs then add them up together, you will get the length of the hypotenuse squared.

We know one leg is 24 and the hypotenuse is 26. Plug them into the equation.

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