Question

3. When a set of data is transformed by adding 100 to each data value, which measure remains unchanged? (1) Mean (2) Median (3) Mode (4) Range 4. When a set of data is transformed by dividing each value by 10, what happens to the original mean?

Answer 1

3.

Mean

`x=\sum ^N_i(x_i)/(n)`

The average changes because values are added to each value.

Median

The median also changes because the values are increased

Mode

Fashion also changes because it depends on specific values.

Range

The range does not change because it is a difference between the maximum value and the minimum value.

4.

When all the values are divided by 10 the average also changes by the same factor.

x2 = x1/10