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?\no 16\no 19\no 20\no 23

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?\no 16\no 19\no 20\no 23

Answer

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. So the initial median is 20.

Step3: Consider new data - set with 8 values

When there are 8 data - points, the median is the average of the 4th and 5th ordered values. For the median to remain 20, the 4th and 5th ordered values must average to 20. If we add a value such that the ordered data - set still has 20 as the middle value (average of two middle values), when we add a value, if the new value is 20, the ordered data - set will have the 4th and 5th values as 20 and 20 (or other combinations that average to 20). But the most straightforward case is when the new value is 20.

Answer:

C. 20