Find the median of the following data: 105, 110, 90, 80, 75, 111, 85, 92,
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Answers
Answer:
Answer is
Step-by-step explanation:
The median of a data set is the middle data value after ordering the given data. If the number N of data values is odd, the median is the middle data vale and if N is even, the median is the average of the two data values in the middle.
Example 2
The heights, in centimeters, of a group of 11 children of different ages are follows: 110, 105, 126, 65, 134, 102, 78, 80, 119, 67, 88. What is the median height of this group of children?
Solution to Example 2
We first order the given data from smallest to the largest heights.
65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 , 119 , 126 , 134
There is a total of 11 data values and the one in the middle is the median and is equal to 102. There are close to 50% of the data values that are lower than the median (102) and close to 50% of data values higher than the median.
Example 3
The weights, in kilograms, of a group of 12 men are follows: 110, 82, 99, 70, 77, 87, 78, 80, 102, 79, 88, 95. What is the median weight of this group of men?
Solution to Example 3
We first order the given data from smallest to the largest weights.
70 , 77 , 78 , 79 , 80 , 82 , 87 , 88 , 95 , 99 , 102 , 110 ,
There is a total of 12 data values and the average of the two data values 82 and 87 in the middle is the median and is equal to (82 + 87) / 2 = 84.5. Exactly 50% of the data values are lower that the median (84.5) and 50% of data values are higher than the median.
HOPE YOU UNDERSTAND