Problem

Find the median, the first and third quartiles, and the interquartile range for the cost of admission: $\$ 13.95, \$ 24.59, \$ 19.99, \$ 29.98, \$ 23.95, \$ 28.99$.

Answer

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Answer

\(\boxed{Q1 = 19.99, Q2 = 24.27, Q3 = 28.99, IQR = 9.00}\)

Steps

Step 1 ：Sort the data in ascending order: \(13.95, 19.99, 23.95, 24.59, 28.99, 29.98\)

Step 2 ：Find the first quartile (Q1): \(19.99\)

Step 3 ：Find the median (Q2): \(\frac{23.95 + 24.59}{2} = 24.27\)

Step 4 ：Find the third quartile (Q3): \(28.99\)

Step 5 ：Calculate the interquartile range (IQR): \(28.99 - 19.99 = 9.00\)

Step 6 ：\(\boxed{Q1 = 19.99, Q2 = 24.27, Q3 = 28.99, IQR = 9.00}\)

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