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A psychopathologist records the number of criminal offenses among teenage drug users in a nationwide sample of 1,201 participants. To measure the variance of criminal offenses, he computes SS = 10,800 for t his sample. Compute the standard deviation.

Answer :

MrRoyal

Answer:

Standard deviation = 3

Explanation:

Given

[tex]N = 1201[/tex]

[tex]SS = 10800[/tex]

Required

Determine the standard deviation

First, we need to determine the variance;

[tex]Variance = \frac{SS}{N - 1}[/tex]

This gives:

[tex]Variance = \frac{10800}{1201 - 1}[/tex]

[tex]Variance = \frac{10800}{1200}[/tex]

[tex]Variance = 9[/tex]

Know that:

[tex]Variance = SD^2[/tex]

Where SD represents standard deviation

This gives

[tex]9 = SD^2[/tex]

Take square root

[tex]SD = \sqrt 9[/tex]

[tex]SD = 3[/tex]

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