The spread of the data which is obtained by calculating the Interquartile range of each distribution since the distributions are skewed is 2 for brand A and brand B. Hence, the spread is the same.
The distribution of BRAND A chips :
18, 19, 19, 19, 19, 19, 19, 20,20,20,20,20,20,21,21,21,21,21,21,22
The Upper quartile, Q3 ;
Q3 = 0.75 × (n + 1)th term
Q3 = 0.75 × 21 = 15.75 th term = 21
The Lower quartile, Q1 ;
Q1 = 0.25 × (n + 1)th term
Q1 = 0.25 × 21 = 5.25 th term = 19
The IQR = Q3 - Q1 = (21 - 19) = 2
The distribution of BRAND B chips :
14,14,14,14,14,14,14,14,15,15,15,15,15,15,16,16,16,16,16,18
The Upper quartile, Q3 ;
Q3 = 0.75 × (n + 1)th term
Q3 = 0.75 × 21 = 15.75 th term = 16
The Lower quartile, Q1 ;
Q1 = 0.25 × (n + 1)th term
Q1 = 0.25 × 21 = 5.25 th term = 14
The IQR = Q3 - Q1 = (16 - 14) = 2
Therefore, the spread of distribution of BRAND A and B are the same.
Learn more :https://brainly.com/question/15191516
