Question

Question 2(1 point) A student measures the diameter of a disk fifteen times with a ruler that has a smallest division of 1 mm. The average of the 15 measurements is 17.04667 cm and the sample standard deviation is 5.595063x10"3 cm. The correctly rounded-off uncertainty (don't use scientific notation) is rounded off value is A cm and the correctly A/ cm.

Answer 1

A)

Note that the smallest division is of 1mm. So, the scale can't read a unit below this. And we know that: 1mm = 10^-1cm. So, the correctly rounded off uncertainty=1mm.

Because, the standard deviation = 5.5595063x10^-3cm= 5.595063x10^-2mm and this can't be read on scale. The least that can be read = 1mm.

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B)

The Mean = 17.04667cm

Note that 1mm = 0.1cm. So, the scale can only read up to one decimal places of centimeter.

And, rounding up to 1 decimal places gives, mean = 17.1cm.