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Question 5 (4 points) Marijuana was recently legalized in Canada. A recent study reported that at low doses marijuana could have antidepressant effects but at high doses, it has opposite effect. A researcher at a major Canadian university conducted a survey in which she asked people how much marijuana they consumed (number of joints per week) and how depressed they were (measured on Beck Depression Inventory. This test gives a score between 0 and 63 with higher scores corresponding to higher levels of depression). The results showed that that for the number of joints that people smoked per week, the average was 3.74 and the standard deviation was 1.47. For their results on the depression test, the average was 19.32 and the standard deviation was 3.18. Were students more variable in their marijuana consumption or in their levels of depression? Provide an explanation for your findings. You may need to show work along with your explanation for full points. (4 points) ​

Sagot :

Using the coefficient of variation, it is found that students were more variable in their marijuana consumption.

What is the coefficient of variation of a data-set?

The coefficient of variation of a data-set is given by the division of the standard deviation of the data-set by the mean of the data-set. The higher the coefficient, the more variable the data-set is.

In this problem, for marijuana consumption, the average was 3.74 and the standard deviation was 1.47, hence:

[tex]CV_m = \frac{1.47}{3.74} = 0.393[/tex]

For depression levels, the average was 19.32 and the standard deviation was 3.18, hence:

[tex]CV_d = \frac{3.18}{19.32} = 0.166[/tex]

Due to the higher coefficient, students were more variable in their marijuana consumption.

To learn more about the coefficient of variation, you can take a look at https://brainly.com/question/26420974

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