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 5.595063×10^(-3) cm. the correctly rounded - off uncertainty (dont use scientific notation) is cm and the correctly rounded off value is cm.

Explanation:

Step1: Determine significant - figures and uncertainty rules

The uncertainty is given as $5.595063\times10^{-3}\text{ cm}$. When reporting a measurement result, the number of decimal places in the result should match the precision of the uncertainty.

Step2: Round the value

The average value is $17.04667\text{ cm}$ and the uncertainty is $0.005595063\text{ cm}$. Rounding the average value to the same number of decimal - places as the uncertainty (three decimal places after the decimal point), we get $17.047\text{ cm}$.

Answer:

$17.047$