Answer: Steven
Step-by-step explanation:
Given the data:
Steven: 2, 4, 6, 8, 8, 9
Marcos: 3, 5, 6, 7, 8, 10
Juan: 3, 5, 5, 6, 9, 9
The median value of an ungrouped data can be calculated or located using the relation:
Median observation = (n + 1) / 2
Whwre n) number of observations.
If a Decimal value is obtained, the upper and lower bound of the observation is averaged to obtain the median value.
Steven: 2, 4, 6, 8, 8, 9
(6 + 1) / 2 = 7/2 = 3.5
Therefore, the 3rd and 4th observations in the data is averaged.
Median = (6+8) / 2 = 14/2 = 7
Marcos: 3, 5, 6, 7, 8, 10
(6 + 1) / 2 = 7/2 = 3.5
Therefore, the 3rd and 4th observations in the data is averaged.
Median = (6+7) / 2 = 13/2 = 6.5
Juan: 3, 5, 5, 6,9,9
(6 + 1) / 2 = 7/2 = 3.5
Therefore, the 3rd and 4th observations in the data is averaged.
Median = (5+6) / 2 = 11/2 = 5.5
Therefore, Steven has the greatest median