Question

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

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