Question

question
given the following list of tips (in dollars) earned in the last hour by waiters in a japanese restaurant, find the median.
30, 17, 47, 47, 26, 17, 36, 31, 21, 17
sorry, thats incorrect. try again?
median= 30.5 dollars

Explanation:

Step1: Order the data

First, we need to sort the given list of tips in ascending order. The data is: 17, 17, 17, 21, 26, 30, 31, 36, 47, 47.

Step2: Find the median position

The number of data points \( n = 10 \), which is even. The formula for the median position when \( n \) is even is \( \frac{n}{2} \) and \( \frac{n}{2}+ 1 \). So, \( \frac{10}{2}=5 \) and \( \frac{10}{2}+ 1 = 6 \).

Step3: Calculate the median

We take the average of the 5th and 6th values. The 5th value is 26 and the 6th value is 30. The median is \( \frac{26 + 30}{2}=\frac{56}{2}=28 \).

Answer:

28