Question

1. Find the mean of 8, 12, 16, 22, 10 and 4.
Find the resulting mean, if each of the
observations, given above, be:
(i) multiplied by 3.
(ii) divided by 2.
(iii) multiplied by 3 and then divided by 2.
(iv) increased by 25%.
(v) decreased by 40%.
​

Answer 1

Answer:

Step-by-step explanation:

8, 12, 16, 22, 10 and 4.

Sum=8+12+16+22+10+4=72

Mean =72/6=12

***********************

(i) each data multiplied by 3 then data rea:

24+36+48+66+30+12=72*3

mean=72*3/6=36

(ii) divided by 2 then

4+6+8+11+5+4=72/2=36

mean=36/6=6

(iii) multiplied by 3 and then divided by 2.:

36+54+72+99+45+18=72*3/2=108

mean=108/6=18

***************************

(iv)  increased by 25% then

10+15+20+27.5 +12.5 +5= 72*+72/4=72+18=90

Mean=90/6=15

(v)4.8+7.2+9.6+13.2+6=72*60/100=43.2

mean=43.2/6=7.2