Question

The data set below shows the number of alcoholic drinks that students at a certain university...

The data set below shows the number of alcoholic drinks that students at a certain university reported they had consumed in the past month. Complete parts a through c. 13 15 16 17 12 14 17 19 13 13 a. Assume that the data set is a sample. Compute the​ range, variance, standard​ deviation, and interquartile range for the data set.

Homework Answers

Answer #1

Range = min to max = 12 to 19

Standard deviation

Data

(X-average)^2

12

8.41

13

3.61

13

3.61

13

3.61

14

0.81

15

0.01

16

1.21

17

4.41

17

4.41

19

16.81

Average

14.9

Sum

46.9

Variance=Divide this sum by n-1 =9

5.21

Standard deviation = Sqrt of 5.21

2.28

Inter quartile range:

1. Arrange the data in increasing order
12, 13, 13, 13,14,15,16,17,17,19
2. Find Median = middle most value = 14.5
3. Split the data into two equal halves
4. Q1 = First half, 12, 13, 13, 13,14, now find the Median which is 13
5. Q2 = Second half, 15,16,17,17,19, now find the Median which is 17
6. IQR = Q2-Q1 = 17-13=4

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