Question

Could someone please explain this to me? It's due in 20 minutes!

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? Justify your answer with the equations:
x> Q3 + 1.5(IQR) or,
x< Q1 - 1.5(IQR)

Answer 1

Yes, it is an outlier.

Explanation:

It is an outlier because if you add up all the numbers in the old gym, it would equal up to 740. It is a way bigger than the number of people in the new gym. An outlier is a much smaller or larger than most of the other values in a set of data. Hence, is why it is an outlier.

Answer 2

Yes

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

I hope that helps you out!!!