Question

The number of tickets sold at Atlanta Braves home games is collected for the first month of games. The lower and upper quartiles are calculated at 726 tickets and 3690 tickets respectively. a) Calculate the interquartile range. b) Determine if the selling of 500 tickets would be considered an outlier?

Answer 1

The interquartile range (IQR) for the Atlanta Braves home games ticket sales for the first month is 2964 tickets. The selling of 500 tickets would not be considered an outlier as it is above the lower bound of the outlier threshold.

Step-by-step explanation:

The question is asking us to calculate the interquartile range (IQR) and to determine if selling 500 tickets would be considered an outlier. The interquartile range is calculated by subtracting the lower quartile (Q1) from the upper quartile (Q3).

IQR = Q3 - Q1 = 3690 - 726 = 2964

To determine if 500 tickets is an outlier, we use the IQR to calculate the lower bound at which a ticket sale count would be considered an outlier:

Lower bound = Q1 - (1.5 * IQR) = 726 - (1.5 * 2964) = 726 - 4446 = -3720

Since selling 500 tickets is significantly above the lower bound, it is not considered an outlier.