Question

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18 11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18 18 18 12 10 11 13 14 11 14 18 13 13 19 17 14 17 17 18 19 21 12 15 16 15 10 10 17 12 14 16 12 13 17 17 13 15 12 14 16 15 15 15 12 18 13 12 15 10 13 11 16 14 10 15 14 15 12 16 11 17 16 10 15 11 19 15 20

Metal price: 13 12 16 5 7 8 6 10 11 9 6 16 15 15 9 17 6 10 11 7 8 11 22 21 11 6 11 10 17 12 13 11 16 18 12 11 11 8 8 18 5 5 9 10 9 14 8 9 8 7 6 12 12 15 19 4 6 15 9 5 15 9 8 6 7 5 12 4 16 15 6 11 17 7 5 16 13 12 17 17 9 19 19 2 15 5 13 7 11 15 14 9 10 11 6 19 19 10 7 9 10 18 15 16 8 11 13 14 11 7 7 5 7 15 13 6 17 12 12 15 9 13 21 17 5 17 12 14 14 13

QUESTION: FIRST QUARTILE OF THE METAL PRICE, SECOND QUARTILE OF THE METAL PRICE, THIRTH QUARTILE OF THE METAL PRICE, INTERQUARTILE RANGE OF THE METAL PRICE

Answer 1

n=130 Observation of the metal price and they are,
> x = (13,12,16,5,7,8,6,10,11,9,6,16,15,15,9,17,6,10,11,7,8,11,22,21,11,6,11,10,17,12,13,11,16,18,12,11,11,8,8,18,5,5,9,10,9,

14,8,9,8,7,6,12,12,15,19,4,6,15,9,5,15,9,8,6,7,5,12,4,16,15,6,11,17,7,5,16,13,12,17,17,9,19,19,2,15,5,13,7,11,15,4,9,10,11,6,

19,19,10,7,9,10,18,15,16,8,11,13,14,11,7,7,5,7,15,13,6,17,12,12,15,9,13,21,17,5,17,12,14,14,13)
Sorting data in Ascending order --

> sort(x)
[1] 2 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7
[27] 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10
[53] 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12
[79] 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15
[105] 15 16 16 16 16 16 16 17 17 17 17 17 17 17 17 18 18 18 19 19 19 19 19 21 21 22

First Quartile of the metal price --

> q1=quantile(x,0.25)
> q1
25%
8

Second Quartile of the metal price --
> q2=quantile(x,0.50)
> q2
50%
11

Thirth quantile of the metal price --
> q3=quantile(x,0.75)
> q3
75%
15

Interquartile range of the metal price is,
> IQR= (q3-q1)
> IQR
7