Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores: 44 20 37 28 19 52 55

Question

Morgan Wright

Mathematics

21 May, 05:51

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. Christine is currently taking college astronomy. The instructor often gives quizzes. On the past seven quizzes, Christine got the following scores: 44 20 37 28 19 52 55

+3

Answers (1)

Know the Answer?

Charlize · Answer 1

Answer:S. D = 13.58

Step-by-step explanation:

Let m be mean

M=mean=sum/n

M=255/7

M=36.4=36

Let start finding:

|x-m|^2

For 1st: |44-36|^2=64

For 2nd: |20-36|^2=256

For 3rd: |37-36|^2=1

For 4th: |28-36|^2=64

For 5th: |19-36|^2=289

For 6th: |52-36|^2=256

For 7th: |55-36|^2=361

Summation of |x-m|^2 = 1291

The standard deviation formula is:

S. D = sqrt (Summation of |x-m|^2 / n-1)

S. D = sqrt (1291 / 6)

S. D=sqrt (215.17)

S. D = 14.67