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Statistics question: For the following values: 12, 17, 20, 14, 11, 21, 23, 9, 11 10,...

Statistics question:

For the following values: 12, 17, 20, 14, 11, 21, 23, 9, 11 10, 14, 15

a) Draw a box and whiskers diagram for the data

b) Find the mean, the median, and the mode

c) Calculate the standard deviation

Homework Answers

Answer #1

a) Draw a box and whiskers diagram for the data

b) Find the mean, the median, and the mode

mean = sum(x)/12 = 177/12 = 14.75

median = average of 6th and 7th value

median = (14+14)/2 = 28/2 = 14

mode = 11, 14 ( both occurs twice )

c) Calculate the standard deviation

X X^2
12 144
17 289
20 400
14 196
11 121
21 441
23 529
9 81
11 121
10 100
14 196
15 225

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