The variance for the data set is 18.
What is a variance?
The term variance refers to a statistical measurement of the spread between numbers in a data set. More specifically, variance measures how far each number in the set is from the mean (average), and thus from every other number in the set.
Here we have to find the variance for this data set.
Given data:
The age of six grandchildren in a family is = 6, 3, 14, 11, 14, 6
The mean = 6+3+14+11+14+6/ 6
= 9
The variance = (6-9)² + (3-9)² + (14-9)² +(11-9)² + (14-9)² + (6-9)²/ 6
= 9+36+25+4+25+9/ 9
= 18
Therefore the variance is 18.
To know more about the variance refer to the link given below: