Question

Consider the data below. 20, 40, 50, 50, 60, 80, 80, 80 Each value increases by 10. Determine whether each statement is true or false. The mean increases by 10. Response area. The median increases by 10. Response area The mode increases by 10. Response area

Answer 1

The mean increases by 10.

The median increases by 10.

The mode increases by 10.

Explanation:

Given the set of data

20, 40, 50, 50, 60, 80, 80, 80

Mean

=(20+40+50+50+60+80+80+80)÷8

=460 ÷ 8 =57.5

Median=(50+60)÷2=110÷2=55

Mode=80

If each value is increased by 10.

The new set of data will be:

30, 50, 60, 60, 70, 90, 90, 90

Their Mean

=(30+50+60+60+70+90+90+90)÷8

=540 ÷ 8 =67.5

Median=(60+70)÷2=130÷2=65

Mode=90

From the two calculations above, we can conclude that

The mean increases by 10.

The median increases by 10.

The mode increases by 10.

Answer 2

True

True

True.

All the statements are true.

Explanation:

When the data values are increased by 10, the value of the mean, median and mode also increases by 10.

Kindly check the attached file for the workings.