Question

PLEASE HELP! I'M FAILING ALGEBRA CLASS AND I REALLY DON'T UNDERSTAND THIS!

The numbers of members in 8 workout clubs are 100, 95, 90, 85, 85, 95, 100, and 90. Suppose that a new workout club opens and immediately has 150 members. Is the number of members at this new club an outlier?

Answer 1

Answer:

Yes

Step-by-step explanation:

85, 85, 90, 90, 95, 95, 100, 100, 150

Median: 95

Q1: (85+90)/2 = 87.5

Q3: 100

IQR: Q3 - Q1 = 100 - 87.5 = 12.5

1.5 × IQR = 18.75

Outliers are outside the interval:

[Q1 - 1.5×IQR, Q3 + 1.5×IQR]

Q3 + 1.5IQR = 100 + 18.75

= 118.75

Since 150 > 118.75, it is an outlier