Question

What is the median for the data shown below?

S= [110, 105, 126, 65, 134, 102, 78, 80, 119, 67, 88]

Answer 1

102

Explanation:

1. The median is the quantity that's in the middle of a data set.

2. First, we have to arrange the given data set from least to greatest:

• 65, 67, 78, 80, 88, 102, 105, 110, 119, 126, 134

3. Now, when we try and locate the middle number, we can see that the number is 102.

Therefore, the median is 102.

Answer 2

102

Explanation:

The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:

65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 ,119 , 126 , 134

Since there is an odd number of data values in this data set, there is only one middle number. With 11 data values, the middle number is the data value at position 6. Therefore, the median is 102.