Question

Please answer these three questions !

1.
A professional hockey player played 20 seasons. The following table shows the number of games in which he played during each of his 20 seasons. Complete parts (a) through (e) below 48 67 66 69 78 81 45 71 78 73 76 75 78 71 77 67 73 80 66 73 a. Obtain and interpret the quartiles Q, Qy - (Type integers or decimals.)

2.

3.

Answer 1

А B וד D I 1 2 3 4 5 6 7 8 9 10 с data set 1 48 67 66 69 78 81 45 71 78 73 76 75 78 71 77 67 73 80 66 73 E data set 2 177 166 123 83 68 104 94 164 114 148 data set 3 6 8 2 6 5 5 5 2 6 6 8 13 10 6 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Q1 = Q2 = Q3 = 67 Q1 = 73 Q2 = 77.25 Q3 = 96.5 Q1 = 118.5 Q2 = 160 Q3 = 5 6 8

Formula Reference:

A B с D E F G 1 data set 3 6 N 00 6 data set 2 177 166 123 83 68 104 94 164 114 148 5 5 data set 1 48 67 66 69 78 81 45 71 78 73 76 75 78 71 77 67 73 80 66 73 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 5 2 6 6 8 13 10 6 10 0 Q1 = Q2 = Q3 = =QUARTILE($C$2:$C$21,1) Q1 = =QUARTILE($C$2:$C$21,2) Q2 = =QUARTILE($C$2:$C$21,3) Q3 = =QUARTILE($E$2:$E$11,1) Q1 = =QUARTILE($E$2:$E$11,2) Q2 = =QUARTILE($E$2:$E$11,3) Q3 = =QUARTILE($G$2:$G$17,1) =QUARTILE($G$2:$G$17,2) =QUARTILE($G$2:$G$17,3)

Data set 2 is having lesser than or equals to 10 (sample size). so we can see different values for Q1,Q2 and Q3 in terms of percentile mthod of calculation, Tukey's hinge method and TI-84 method.

Below are the values from all three method.

[Tukey's hinge method] Minimum=68, Q1=94, Median=118.5, Q3=164, Maximum=177 [TI-83 & TI-84 & TI-89 method] Minimum=68, Q1=94, Median=118.5, Q3=164, Maximum=177 [Percentile method] Minimum=68, Q1=96.5, Median=118.5, Q3=160, Maximum=177