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3 years ago

Compute the standard deviation of the following set of data to the nearest whole number: 10, 15, 15, 20, 20

Mathematics

1 answer:

Effectus [21]3 years ago

8 0

Answer:

For the given set of numbers, the standard deviation is 4 (Rounding to the nearest whole number).

Step-by-step explanation:

1. The first step for finding the standard deviation is to find the mean of the set of numbers.

Mean = ( 10 + 15 + 15 + 20 +20)/5

Mean = 80/5 = 16

Mean = 16

2. The second step is to find the variance.

Let's recall that the variance is the sum of all the squared differences of each element of the set minus the mean over the number of terms less one, if we want to be strict.

Variance = [6² + 1² + 1² + (-4)² + (-4)²]/4

Variance = [36 + 1 + 1 + 16 + 16]/4

Variance = 70/4

Variance = 17.5

3. Now we'r ready to calculate the standard deviation.

Standard deviation = √ Variance

Standard deviation = √ 17.5

Standard deviation = 4.18

Standard deviation = 4 (Rounding to the nearest whole number)

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3/10 or 30%

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2 years ago

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Answer:

There are in total 3 maximum and minimum points of f(x)

Step-by-step explanation:

To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.

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3 years ago

Find the hypotenuse of right angle triangle whose sides are 6.03 units and 7.96 units also find

xxMikexx [17]

The hypotenuse is is 9.98 units

<h3>What is Pythagoras theorem?</h3>

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Given:

Sides are 6.03 units and 7.96 units

Using Pythagoras theorem,

H²=P²+B²

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H=9.98 units.

Hence, the hypotenuse is 9.98 units.

Learn more about Pythagoras theorem here:

brainly.com/question/343682

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