Question

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 14) Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores: 50 15 31 27 11 42 71 A) 11,341 14) B) 31 C) 20.9 D) 8715 6

Answer 1

Formula of standard deviation : s

1 |(xi -)2 ΤΣα-τ s = 1

sample mean : T п

n : Number of quizzes : Sample size = 7

x_i : Score on the i^th quiz

sample mean : T п

50+15+31+ 27 +11+ 42+71 24-35.2857 7 5

35.2857

1 |(xi -)2 ΤΣα-τ s = 1

[(50 35.2857)2 (15 35.2857)2 (31 35.2857)2 (27 35.2857)2 (11 35.2857)2 (42 35.2857)2 (71 35.2857)21

20.2857)2 (-4.2857)2 (8.28572)(-24.2857)2 6.71432 35.71432] 14.71432

216.5106 411.5096 18.3672 68.6528 589.7952 45.0818

2625.4286 V437.5714 20.9182 20.9

Standard deviation for the given sample data = 20.9

Ans :

C) 20.9