Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours

Question

1 day ago

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Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours

are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?
Show all your work and explain how you arrived at your answer.

Mathematics

2 answers:

Leona [9.2K] · Answer 1 · 2026-03-26T23:05:59+03:00

The weekly customer visits to the store on a Saturday are recorded as 15, 23, 12, 28, 20, 18, and 23. If we organize these numbers in ascending order, we get: 12, 15, 18, 20, 23, 23, 28. The median is defined as the "middle" value within this ordered list of numbers.

In this scenario, the median stands at the middle value, which is identified as 20. We seek the number of customers who visited the store in the eighth hour to maintain a constant median of 20 per hour. Introducing an eighth number will position the median as the average of the fourth and fifth numbers. To preserve the median at 20, we should choose 20 as the eighth number, ensuring that the two middle figures are both 20, which will yield an average of 20 and thus uphold the median as 20.

The resulting set of numbers becomes 12, 15, 18, 20, 20, 23, 23, 28. Median = (20+20)÷2=20.

Svet_ta [9.5K] · Answer 2 · 2026-03-26T23:06:37+03:00

Initially, we must determine the median from the provided dataset. To achieve this, we need to sort the values:
12, 15, 18, 20, 23, 23, 28
Thus, the median appears to be 20

To ensure the median remains unchanged, the eighth hour would need to have 20 visitors, allowing the revised dataset to be:
12, 15, 18, 20, 20, 23, 23, 28

I hope this clarifies things!