The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given below. Minimum: 1.8 Q1:3.3 Median: 3.8 Q3: 4.5 Maximum: 9.2

The shortest song performed by the group is 1.8 minutes while the longest three songs are 5.7, 7.5, and 9.2 minutes.

Are any of these song lengths outliers?

O No, none of the lengths are outliers.

0 Yes, 7.5 and 9.2 are outliers.

Yes, 1.8 and 9.2 are outliers.

O Yes, 5.7, 7.5, and 9.2 are outliers.

Yes, 7.5 and 9.2 are outliers

Step-by-step explanation:

Given the 5 number summary :

Minimum: 1.8

Q1: 3.3

Median: 3.8

Q3: 4.5

Maximum: 9.2

To detect an Outlier use the Relation :

Lower bound : Q1 - 1.5*IQR

IQR = Q3 - Q1 = 4.5 - 3.3 = 1.2

lower bound : 3.3 - 1.5(1.2)

Lower bound = 3.3 - 1.8 = 1.5

Upper bound : Q3 + 1.5*IQR

Upper bound : 4.5 + (1.5 * 1.2)

Upper bound : 4.5 + 1.8 = 6.3

Hence,

1.5≤ x ≤ 6.3

Songs with length 7.5 and 9.2 do not meet the condition and are this outliers

i would need to see the dot plot : )