Question

1. Calculate the standard deviation:

You are a social researcher interested in the number of times 21 and 22-year-olds become inebriated in a year. You obtained 10 individuals to participate in your study. You collected data on how many times the 10 participants became inebriated in one year. The raw data is listed below. The column (x) is the raw data that you obtained (how many times the participants became inebriated in a year). You want to assess how much your raw data varies from the mean. So, you assessed the standard deviation.

Formula: s = √( (∑(X− ? ̅)^2)) / (N−1) )

Data:

(X)	X-mean	(x - mean)2
55 74 83 43 25 38 44 49 54 13

Answer 1

Following table shows the calculations:

	(X)	X-mean	(x - mean)2
	55	7.2	51.84
	74	26.2	686.44
	83	35.2	1239.04
	43	-4.8	23.04
	25	-22.8	519.84
	38	-9.8	96.04
	44	-3.8	14.44
	49	1.2	1.44
	54	6.2	38.44
	13	-34.8	1211.04
Total	478	0	3881.6

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