In the left column, fill in the missing steps of the derivation of the quadratic formula. In the right column, explain the process taken to arrive at that step. The first two rows have been completed for you.In the left column, fill in the missing steps of the derivation of the quadratic formula. In the right column, explain the process taken to arrive at that step. The first two rows have been completed for you.

Table of ordered data

number of       value
data

1                      62
2                      88
3                      89
4                      90
5                      92
6                      95
7                      96
8                      98
9                    100
10                  100

Range of scores: 100 - 62 = 38

Oulier: 62 => Range without the outlier = 100 - 88 = 12

Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1

Quartlies of all the data:

1                      62
2                      88
3                      89   first quartile, Q1 = 89
4                      90
5                      92
median, Q2 = (95 + 92) / 2 = 93.5
6                      95
7                      96
8                      98 third quartile, Q3 = 98
9                    100
10                  100

=> IQR = 98 - 89 = 9 : the interquartle range is 9

Quartlies without the outlier:

2                      88
3                      89
first quartile, Q1 = (89 + 90) / 2 = 89.5
4                      90
5                      92
6                      95 median, Q2 = 95
7                      96
8                      98
third quartile, Q3 = (98 + 100) / 2 = 99
9                    100
10                  100

=> IQR = Q3 - Q1 = 99 - 89.5 =  : the interquartle range without the outlier is 9.5

Therefore, the outlier impacts more the range than it impacts the IQR.

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.