Compare the two groups of data. which statement is true?

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.

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a) both have the same spread

Step-by-step explanation:

Mean of Brand A > Mean of Brand B

Median of A > Median of B

Spread of:

A: 22 - 18 = 4

B: 18 - 14 = 4

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