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spayn [35]
3 years ago
6

Is the sample mean always the most frequently occurring value? If so, explain why. If not, give an example.

Engineering
1 answer:
Ugo [173]3 years ago
6 0

Answer:

No the sample mean is not the most frequently occurring data.

Explanation:

If we take a number of observation in an experiment the most frequently repeating value is known as mode of data.

Mean of data is the the value to which all the given observational values are closest.

Consider a given set of observations as

1,1,1,1,1,5,4,3,4

The Mean of the above data set is\bar{x}=\frac{1+1+1+1+1+1+5+4+3+4}{10}=2 While as the most often repeating value is 1 which is not equal to mean  

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The length= 64 inches

Ends are fixed Le= 64/2 = 32 inches

Factor Of Safety (FOS) = 3. 0

E= 10.6× 10^6 ps

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The square cross-section= ia^4/12

PE= π^2EI/Le^2

6500= 3.142^2 × 10^6 × a^4/12×32^2

a^4= 0.81 => a=0.81 inches => a=0.95 inches

Given σy= 4000ps

σallowable= σy/3= 40000/3= 13333. 33psi

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σactual=6500/0.9025

σ actual < σallowable

The dimension a= 0.95 inches

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