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2 years ago

Calculate the variance and the standard deviation of the data below 23. 19, 22, 30, 28

Mathematics

1 answer:

Alina [70]2 years ago

7 0

To get the variance, start with finding the mean of your data points:

(23 + 19 + 22 + 30 + 28) / 5 = 24.4

Now take each data point and subtract the mean from it, then square that value:

23 - 24.4 = -1.4 * -1.4 = 1.96

19 - 24.4 = -5.4 * -5.4 = 29.16

22 - 24.4 = -2.4 * -2.4 = 5.76

30 - 24.4 = 5.6 * 5.6 = 31.36

28 - 24.4 = 3.6 * 3.6 = 12.96

Now get the average of those new numbers. That is your variance:

(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24

The standard deviation will be the square root of the variance:

√(16.24) = 4.0299 (rounded to 4DP)

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3 years ago

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Tamiami turned in 6 homework assignments. if she turned in 75 percent of the homework assignments that were due how many homewor

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2 years ago

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this

Westkost [7]

Answer:

Expectation=240

standard deviation=3.098

Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

-The expected value is calculated as:

$E(X)=np\\\\=250\times 0.96\\\\=240$

Hence, the expected germination is 240 seeds

b. From a above, we have the value of p=0.96 and n=250.

The standard deviation of germination is therefore calculated using the formula:

$\sigma=\sqrt{np(1-p)}, \ \ \ \\\\=\sqrt{250\times 0.96(1-0.96)}\\\\\\=3.098$

Hence, the standard deviation of germination is 3.098

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2 years ago

How many inches are in 8.5 feet (show work please thank you you)

GalinKa [24]

8.5 feet(12 inches per foot)= 102 inches total
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7 0

3 years ago

I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!

Brilliant_brown [7]

Answer:

$\huge\boxed{IJ \approx 2.01}$

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: $\text{sin(42)} = \frac{x}{3}$

Let's now solve for x.

$\text{sin(42)} = \frac{x}{3}$
$3 \cdot \text{sin(42)} = x$
$\text{sin(42)} \approx 0.67$
$3 \cdot 0.67 \approx 2.01$

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0

2 years ago