Question

Problem Statement 6 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. 19, 19, 20, 20, 22, 23, 25, 26, 27, 30, 33, 34, 35, 36, 38, 41 Note: For this sample, the sum of the values is 448, and the sum of the squared differences between each value and the mean is 812. This information may or may not be useful to you depending on how you solve the related questions.

Referring to Problem Statement 6, the third quartile of the number of vitamin supplements sold in this sample is ________.

Answer 1

Given series of number of vitamin suppliments sold by a health store in 16 days is individual series. Hence values of individual series is-

19,19,20,20,22,23,25,26,27,30,33,34,35,36,,38,41.

Arrange the series in ascending order-

19,19,20,20,22,23,25,26,27,30,33,34,35,36,,38,41.

So third quartile is- Q3=Value of 3(n + 1)/4th item

here n=16

Q3= value of 3(16+1)/4= value of 12.75

Q3=12th item+0.75(13th item−12th item)

Q3=34+0.75(35-34)=34.75

third quartile is - Q3=34.75