If every value in the data set is muliplied by a constant k>0, the measures of center and measures of variation of the new data set can be found by multiplying each of the original statistics by k.
We want to find the mean, median, mode, range, and standard deviation of the data set in which each value is multiplied by a constant k= 0.6.
Let's start by writing initial data set of size n in the increasing order.
x_1, x_2, ..., x_nNow, we can write the transformed data set.
x_1* 0.6, x_2* 0.6, ..., x_n* 0.6
If every value in the data set is multiplied by the constant k= 0.6, then the statistics of the new data set will behave in a consistent, predictable way. We can find the new mean, median, mode, new range and standard deviation by multiplying each of the original statistics by 0.6.
