Question

here are the ages of 13 people in a coffee shop on a given day: 26, 44, 22, 28, 55, 32, 15, 39, 54, 69, 21, 18, 48 identify the third quartile by finding the middle number on the right side of the median. if there is no middle number, average the two middle numbers. 15, 18, 21, 22, 26, 28, 32, 39, 44, 48, 54, 55, 69 first quartile (q₁) median (q₂) third quartile (q₃) 21.5 ?

Explanation:

Step1: Locate the median

The data set has 13 values. The median is the 7th value. After sorting the data: 15, 18, 21, 22, 26, 28, 32, 39, 44, 48, 54, 55, 69. The median \(Q_2 = 32\).

Step2: Consider the data on the right - hand side of the median

The data on the right - hand side of the median is: 39, 44, 48, 54, 55, 69.

Step3: Calculate the third quartile

Since there are 6 values (an even number), we average the 3rd and 4th values. The 3rd value is 48 and the 4th value is 54. The formula for the average is \(\frac{48 + 54}{2}\).

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Answer:

51