Respuesta :
Answer:
Mean = 13 kilometer per second
Standard Deviation = 0.4082 kilometer per second
Step-by-step explanation:
We are given the following data set of rocket speed in kilometer per second in the question:
12.7, 13.4, 12.6, 13.3
Formula:
[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{52}{4} = 13[/tex]
Deviations from mean = -0.3, 0.4, -0.4, 0.3
Sum of squares of differences =
0.09 + 0.16 + 0.16 + 0.09 = 0.5
[tex]S.D = \sqrt{\dfrac{0.5}{3}} = 0.4082[/tex]
Mean = 13 kilometer per second
Standard Deviation = 0.4082 kilometer per second
