Question

You perform nine (identical) measurements of the acceleration of gravity (units of m/s2): 10.1, 9.87, 9.76, 9.91, 9.75, 9.88, 9.69, 9.83, and 9.90. The true value is 9.81. Calculate the mean value of your results to three significant digits. ________

Answer 1

Answer: The mean value = 9.85m/s².

Explanation:

Mean = $\dfrac{\text{Sum of n observations}}{n}$

The given measurements the acceleration of gravity (units of m/s²): 10.1, 9.87, 9.76, 9.91, 9.75, 9.88, 9.69, 9.83, and 9.90.

Number of measurements =9

Sum of measurements =  88.69

Mean = $\dfrac{88.69}{9}=9.85444444\approx9.85$

Hence, the mean value = 9.85m/s².