Michael appeared in an examination and obtained the following marks out of 100.
NameMichaelPhysics87Chemistry82Biology82Mathematics98
Measure the central tendency of the above data.
Mean = 87.25, Median = 84.5 and Mode = 82
The Central tendency has three measures namely mean, median and mode.
We know that,
⇒Mean =Sum of observationsNumber of observations
Now,
⇒Mean =87+82+82+984
⇒Mean=87.25
Since, the number of observations is even, the median would be the average of the middle terms arranged in either ascending or descending order i.e. 82, 82, 87, 98.
Median = (n2)th term +(n2+1)th term2
= 2nd term + 3rd term2
= 82 + 872
= 84.5
The mode is the most frequently occurring value in the observation table, which is equal to 82.
Thus, mean = 87.25, median = 84.5 and mode = 82.