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Question 19 You measured the mass of a sample using a laboratory balance. Your measurements are 13.13 g 13.14g. 13.13 g and 1
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Answer #1

Average = (13.13 + 13.14 + 13.13 + 13.08 ) / 4

= 52.48/4

= 13.12

Now let's calculate Variance

13.13 - 13.12 = 0.01

13.14 - 13.12 = 0.02

13.13 - 13.12 = 0.01

13.08 - 13.12 = -0.05

Now let's add the square the differences

= (O.01)2 + (0.02)2 + ( 0.01)2 + (-0.05)2

= 0.0001 + 0.0004 + 0.0001 + 0.0025

= 0.0031

Let's calculate the average of square of differences

Avg. = 0.0031 / 4

= 0.000775

Variance = 0.000775

Standard deviation = √ Variance

Standard Deviation = √ 0.000775

= 0.027

So average measurement is 13.12 ± 0.027

Or 13.12 ± 0.03

Option 4 is correct answer

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