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igor_vitrenko [27]
3 years ago
5

Find the mean deviation of 3 ,6 ,6,7,8,11,15,16​

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Given data :

  • 3 ,6 ,6 ,7 ,8 ,11 ,15 ,16

Data is already in ascending order so let's start answering.

We have to find the mean of Given data

\sf \: Mean =  \frac{sum \: of \: all \: observations}{number \: of \: observations}  \\

\sf \: mean =  \frac{3 + 6 + 6 + 7 + 8 + 11 + 15 + 16}{8}  \\  \\  \sf \: mean =  \cancel \frac{72}{8}  \\  \\    \red{\underline{ \boxed{ \sf \: mean = 9}}}

<h3><u>Hen</u><u>ce</u></h3>
  • Mean of Given data is 9
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A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample varianc
Nady [450]

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

\alpha = 0.05

H_{0} = Population Variance 1 ≤  Population Variance 2

H_{a} = Population Variance 1 >  Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is F_{0.05} = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.

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3 years ago
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Answer: Parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.

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alexdok [17]
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Sa = 2(pi)(r)(h) + 2(pi)(r^2) v = (pi)(r^2)(h) find the surface area and the volume.
LenKa [72]

If Sa=2πrh+2πr^{2}v=πr^{2}h then the surface area is πr^{2} h and volume is

(rh-2h)/2r.

Given Sa=2πrh+2πr^{2} v=πr^{2}h.

We have to find surface area and volume from the given expression.

Volume is basically amount of substance a container can hold in its capacity.

First we will find the value of v from the expression. Because they are in equal to each other, we can easily find the value of v.

2πrh+2πr^{2}v=πr^{2}h

Keeping the term containing v at left side and take all other to right side.

2πr^{2}v=πr^{2}h-2πrh

v=(πr^{2}h-2πrh)/2πr^{2}

v=πr^{2} h/2πr^{2}-2πrh/2πr^{2}

v=h/2-h/r

v=h(r-2)/2r

Put the value of v in Sa=2πrh+2πr^{2} v

Sa=2πrh+2πr^{2}*h(r-2)/2r

=2πrh+2πrh(r-2)/2

=2πrh+πrh(r-2)

=2πrh+πr^{2}h-2πrh

=πr^{2}h

Hence surface area is πr^{2}h and volume is h(r-2)/2.

Learn more about surface area at brainly.com/question/16519513

#SPJ4

6 0
2 years ago
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