The following data set represents the numbers of menu items at seven local restaurants

35, 24, 50, 22,32 28,46

Median:________

32

Can you show me a step-by-step of the question?

Sure! Here are the steps:

1. Order the numbers from least to greatest:
22, 24, 28, 32, 35, 46, 50

2. Find the middle number of the data set. If there are an odd number of data points, the median is the middle number. If there are an even number of data points, the median is the average of the two middle numbers.
- In this case, there are 7 data points, which is odd.
- The middle number is the fourth number: 32.

Therefore, the median of the data set is 32.

To find the median of the given data set, you need to arrange the numbers in ascending order.

Original data set: 35, 24, 50, 22, 32, 28, 46

Arranged in ascending order: 22, 24, 28, 32, 35, 46, 50

Since the data set contains an odd number of values, the median is the middle value. In this case, the middle value is 32.

Therefore, the median of the given data set is 32.