Suppose you made 5 measurements of the speed of a rocket: 10.2 m/s, 11.0 m/s, 10.7 m/s, 11.0 m/s and 10.5 m/s. from these measurements you conclude the rocket is traveling at a constant speed. calculate the mean, standard deviation, and error on the mean.

mean = 10.68 m/s

standard deviation 0.3059

[/tex]\sigma_m = 0.14[/tex]  

Explanation:

1)

  mean = 10.68 m/s

2 ) standard deviation is given as

N = 5

SOLVING ABOVE RELATION TO GET STANDARD DEVIATION VALUE

\sigma  = 0.3059

3) ERROR ON STANDARD DEVIATION

Mean =  = 10.68 m/s

Standard deviation = σ = 0.342 m/s

Error =  0.153 .  

Explanation:

The data has 5 readings.

Let each of the readings be Y

Take average and find the mean X = (10.2+11+10.7+11+10.5)/5 = 53.4/5 = 10.68 m/s.

Take the difference between the data values and the mean and square them individually.

(10.2 - 10.68)² =(-0.48)² = 0.23

(11 - 10.68)² = 0.32² = 0.102

(10.7 - 10.68)² = (-0.02)² = 0.0004

(11-10.68)² =0.32² = 0.102

(10.5-10.68)² = (-0.18)² = 0.0324

Standard deviation =

                                =

                                 = = 0.342 m/s

Error = Standard deviation / = 0.342/5 = 0.153 .

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