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Vlad1618 [11]
3 years ago
8

Given a set of data that is skewed-left, there is at least _____ % of the data within 2 standard deviations.

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:

75

Step-by-step explanation:

For non-normal distributions, we use Chebyshev's Theorem.

Chebyshev Theorem

The Chebyshev Theorem states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Within 2 standard deviations of the mean, so 75%.

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Answer:

Step-by-step explanation:

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So A= 1+3+5+...+99

We can calculate this sum without adding all this numbers one by one

A = the number of terms *( first term + last one ) over 2

To get the number of terms we substract the first term from the last term then we add one

We khow that odd numbers are wiritten this way : 2*n +1 where n is an integer

So 99= 2*49+1

1= 2*0+1

So the number of terms is : 49-0+1 =50

So A= 50*(1+99)/2 = 2500

Foloowing the same method we get :

B= (49-1+1)*(2+98)/2= 2450

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3 years ago
Answer to this equation
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Answer:

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2 years ago
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