# What is the effect on the mean, median, mode, IQR, and range of each data value is increased by 3?

##### 1 Answer

Feb 7, 2018

Mean is increased by 3 because mean depends on all values.

Median is increased by 3 because it is the middle term, and as all values increased by 3, median also increases by 3.

Mode (if exists) also increases by 3 because the underlying value increases by 3.

IQR *stays the same* because IQR = third quartile minus first quartile, and both of these quartiles increase by 3

Range *stays the same* because it is difference between highest and lowest value, both of which increase by 3