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Homework: Section 3.3 Homework Save ta Score: 0.5 of 1 pt 13 of 18 (18 complete)

ID: 3048101 • Letter: H

Question

Homework: Section 3.3 Homework Save ta Score: 0.5 of 1 pt 13 of 18 (18 complete) Score: 97.22%, 17 es ome 3.3.38 Question Help out affectin Find the standard deviation, s, of sample data summarized in the frequency distribution table given below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 9.0. ok (f. x) n(n -1) Interval 20-26 27-33 34-40 4147 48-54 55-61 ch Conter, r Succe dia Libr n Tutor 45 17 standard deviation-(Round to one decimal place as needed.)

Explanation / Answer

529

s= sqrt((95*144671-(3641)^2)/95*94)

=sqrt((13743745-13256881)/8930)

=sqrt(54.52)

=7.4

INTERVAL FREQUENCY MID POINT X f.x^2 f.x 20-26 1 23

529

23 27-33 22 30 19800 660 34-40 45 37 61605 1665 41-47 17 44 32912 748 48-54 5 51 13005 255 55-61 5 58 16820 290 TOTAL 95 144671 3641