the five - number summary for the lengths of songs, in minutes, performed by a popular music group is given…

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? no, none of the lengths are outliers. yes, 7.5 and 9.2 are outliers. yes, 1.8 and 9.2 are outliers. yes, 5.7, 7.5, and 9.2 are outliers.

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? no, none of the lengths are outliers. yes, 7.5 and 9.2 are outliers. yes, 1.8 and 9.2 are outliers. yes, 5.7, 7.5, and 9.2 are outliers.

Answer

Answer:

B. Yes, 7.5 and 9.2 are outliers.

Explanation:

Step1: Calculate the inter - quartile range (IQR).

$IQR = Q_3 - Q_1=4.5 - 3.3 = 1.2$

Step2: Calculate the lower fence.

Lower fence $=Q_1-1.5\times IQR=3.3 - 1.5\times1.2=3.3 - 1.8 = 1.5$

Step3: Calculate the upper fence.

Upper fence $=Q_3 + 1.5\times IQR=4.5+1.5\times1.2=4.5 + 1.8 = 6.3$

Step4: Check for outliers.

Values less than 1.5 or greater than 6.3 are outliers. 7.5 and 9.2 are greater than 6.3, so they are outliers. 1.8 is not less than 1.5 and 5.7 is not greater than 6.3, so they are not outliers.