tristan records the number of customers who visit the store each hour on a saturday. his data representing…

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?\n16\n19\n20\n23

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?\n16\n19\n20\n23

Answer

Answer:

20

Explanation:

Step1: Arrange initial data in order

12, 15, 18, 20, 23, 23, 28

Step2: Find initial median

Since there are 7 data - points, the median is the 4th value, which is 20.

Step3: Consider adding 8th value

When we add an 8th value, there will be 8 data - points. The median of 8 data - points is the average of the 4th and 5th ordered values. To keep the median at 20, the 4th and 5th ordered values (after including the 8th value) should average to 20. If the 8th value is 20, when we order all 8 values, the median will still be 20.