suppose you are at a track where 7 joggers are doing laps. their speeds are 5, 5, 4, 3, 7, 8, and 9 mph. calculate their average speed, then calculate their RMS speed

Respuesta :

Answer:

Average speed = 5.9 mph

RMS speed = 6.2 mph

Explanation:

The average speed is

[tex]\overline{s} = \dfrac{5+5+4+3+7+8+9}{7} = \dfrac{41}{7} = 5.9 \text{ mph}[/tex]

The rms (root-mean-square) value, as the name indicates, is the square root of the mean of the sum of the squares of the speeds.

[tex]s_\text{rms} = \sqrt{\dfrac{5^2+5^2+4^2+3^2+7^2+8^2+9^2}{7}} = \sqrt{\dfrac{269}{7}} = \sqrt{38.43} = 6.2 \text{ mph}[/tex]