In a mathematics test given to 15 students, the following marks (out of 100) are recorded:
41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
Find the mean, median and mode of this data.
Mean:
Using
(ii) Median:
To find the median, arrange the given data in ascending order, as follows:
39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98
Since, the number of terms is 15, an odd number, we find out the median by finding the marks obtained by student, which is 8th student.
Therefore, the median marks will be 52.
(iii) Again, the data 52 occurs most frequently that is, three times.
Hence, the mode of the given data would be 52.