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At a smoking cessation center, three groups of smokers are interviewed. Each gro

ID: 3300055 • Letter: A

Question

At a smoking cessation center, three groups of smokers are interviewed. Each group has 6 people. The numbers of cigarettes smoked per day by the members of each group are given below: Group 1:2,4, 6, 8, 10, 12 Group 2: 6, 6,7,7,8,8 Group 3: 1, 1, 3, 11, 13, 13 In addition, the histogram of the number of cigarettes smoked per day for each group is presented below. The mean number of cigarettes smoked is 7 per day for every group. Reviewing these histograms, and the data above carefully, which group appears to have the greatest variability in terms of number of cigarettes smoked? Number of Cigarettes Smoked Per Day

Explanation / Answer

Answer:

Standard deviation for group 1 =3.74

Variance for group 2 = 0.8

Descriptive statistics

Group 1

Group 2

Group 3

count

6

6

6

mean

7.00

7.00

7.00

sample standard deviation

3.74

0.89

5.93

sample variance

14.00

0.80

35.20

Descriptive statistics

Group 1

Group 2

Group 3

count

6

6

6

mean

7.00

7.00

7.00

sample standard deviation

3.74

0.89

5.93

sample variance

14.00

0.80

35.20

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