Mean, Median And Mode

Mean is the average of the data set.

Median is the middle value of the ordered data set.

Mode is the most common occurring in the data set.

Mean is calculated by adding all the data and dividing them by the number of data.

Median is calculated by arranging all the data in ascending order and the middle value in the arranged set is known as median.

Mode is the most occurring or repeating data in the set.

EXAMPLES:

EXAMPLE 1: Left skewed

From the above left skewed curve,

The mode = 50

The mean = 20

The mean for the above data will be: (5+10+15+20+50)/5=20

The median = 15

Since, 5, 10, 15, 20, 50 (15 is middle value)

So, if the outlier(s) value of the data is high then mean will be greater than median.

EXAMPLE 2: Normal curve

From the above normal curve,

The mode = 60

The mean = 60

The mean for the above data will be: (35+45+55+65+75+85)/6=60

The median = 60

Since, 35, 45, 55, 65, 75, 85(The middle value of 55 and 65 is 60)

So, In a symmetric normal curve, the mean, the median and the mode will be equal (same).

EXAMPLE 3: Right skewed

From the above right skewed curve,

The mode = 10

The mean = 54

The mean for the above data will be: (10+20+60+80+100)/5=54

The median = 60

Since, 10, 20, 60, 80, 100 (60 is middle value)

So, if the outlier(s) value of the data is low then mean will be lesser than median.