Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.8 115.7 114.9 115.4 115.9

Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).

a) The deviations from the mean

|x-x⁻|  :   1.06       |-0.04 |       |-0.84 |     |-0.34 |     | 0.16  |  

b)

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

Step-by-step explanation:

Step(i):-

Given that the sample observations

   x   :    116.8       115.7     114.9     115.4     115.9

Mean of the sample

                       = ∑ x/n

 Mean of sample x⁻  =

 Mean of sample x⁻ = 115.74        

Step(ii):-    

The deviations from the mean

|x-x⁻|  :  116.8-115.74       115.7-115.74   114.9-115.74  115.4-115.74   115.9-115.74

|x-x⁻|  :   1.06                 |-0.04 |               |-0.84 |         |-0.34 |             | 0.16  |  

|x-x⁻||²:    1.1236             0.0016             0.7056          0.1156             0.0256

The variance of the given sample observations

          S²  = ∑ (x-x⁻)² / n-1

The variance of the sample      S² = 0.493

The standard deviation of the sample  S =√0.493 = 0.7021

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

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step-by-step explanation: