Question

The 6 participants in a 200-meter dash had the following finish time (in seconds)32, 28, 26, 32, 24, 32assuming that these times constitute an entire population, find the standard devation of the population. round your answer to two decimal places.

Answer 1

Given data:

The given time by each participant.

The mean is,

`\begin{gathered} x=(32+28+26+32+24+32)/(6) \\ =29 \end{gathered}`

The value of the mean square is,

`\begin{gathered} x^2=(32^2+28^2+26^2+32^2+24^2+32^2)/(6) \\ =851.334 \end{gathered}`

The value of the standard deviation is,

s=(851.334-(29)^2)^(1/2)

=3.21465

=3.21

Thus, the standard deviation is 3.21.