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4. After measuring the mass of water, the data is averaged and it is determined that the mean of 4 measurements is 122.4 g with a standard deviation of 1.3 g. How many significant figures are in the mean value based on the standard deviation

Sagot :

The mass of the object would be the mean which is 122.4, which must be rounded to three significant figures, i.e 122 g.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

After measuring the mass of water,

the data is averaged and it is determined that the mean of 4 measurements is 122.4 g with a standard deviation of 1.3 g.

If the deviation is 1.3 g then, the true measurement will be

122.4g - 1.3g to 122.4g + 1.3g:

Lower limit: 122.4 g - 1.3 g

                     = 121.1 g

Upper limit: 122.4 g + 1.3 g

                  = 123.7 g

only the first two digits, hundreds and tens places, are certain.

The one digit is uncertain.

It should report the number with three significant figures:

2 certain digits + 1 uncertain digit.

The mass of the object would be the mean which is 122.4,

which must be rounded to three significant figures, i.e 122 g.

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