Question

B Question Help The marketing team at an internet music site wants a better understanding of who their customers are. They send out a survey to 25 customers (and use an incentive of $50 worth of downloads to guarantee a high response rate) asking for demographic information. One of the variables is the customer's age. For the 25 customers, the ages are shown to the right. Complete parts a) through d). 19|33|35|28|32 1428 12 36 22 43 47 26 2522 323633 36 43444347 a) Find the quartiles using technology. Q1 = and Q3=0 b) Find the quartiles using the Tukey method. Q1= and 23=0 c) Find the IQR using the quartiles from part b. IQR= d) Find the standard deviation. The standard deviation is (Dound to three decimal olaco a nondod

Answer 1

....M The observations.in increasing onder 1214.4.19...22.22.25., 26.28...28.3.1.3.. 3.2.3.2.2.33.3.3...2.5...3.6.3.6.3.6., 4.3.4.3., 43....... 44.47,47

a) cu 4 = fm jth observation=6:25 th Observation = 6th obsn +(0.25) (7th to = 25+ 0.25)(26-25) ICI = 25.25 _ g = (3n)th observation 2 18.75th obsh = 18th term to.7519 th term- 18th term = 3.60.75 10.) = 3.6.. .

b. Bay. Tukey.method... Here. Median. - Q2 = (1+1)th observation.... romanen Oy =(252= 36h Observation = 32 Median...of the first hal.f. including . .median. ... 26. .. .cy - Median of the second half including median.. ... Q2 = 3.6... .C.). IQR = Q.3. - Q = 36-26 =10 d) Standard deviation- Ex;2 - na (5) nel ...cehenemã = [Xin = 798/25 = 31.92 s = | 27700 - (25) (31.92)2 24 9.63.