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)

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

I hope that helps you out!!!

Yes, it is an outlier.

Step-by-step 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.

linear

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05