The marks of 12 students in mathematics are as follows:
47, 73, 39, 46, 37, 35, 29, 43, 41, 49, 35, 30
Study the above data and answer the question.
The median of the given data is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 40
The median is the middle value once the data are put in order. With an even number of observations there are two middle values, and the median is their average.
In order: 29, 30, 35, 35, 37, 39, 41, 43, 46, 47, 49, 73
12 observations, so the middle ones are the 6th (39) and the 7th (41)
Median \(\displaystyle =\frac{39+41}{2}=40\)
Tip: Always arrange the data first. The 6th and 7th values of the list in the order given (35 and 29) give 32, which is Option (2).