Question

Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if each of the observations, given above, be:  decreased by 40%

Answer 1

Mean of the given data  = `(8 + 12 + 16 + 22 + 10 + 4) /( 6)`

=`(72)/(6)=12`

 decreased by 40%
New mean  = Original mean - 40% of original mean

⇒ New mean = 12 - 40% of 12

⇒ New mean = 12 - `(40)/(100) xx 12`

⇒ New mean = 12 - `2/5 xx 12`
⇒ New mean = 12 - 0.4 x 12
⇒ New mean = 12 - 4.8
⇒ New mean = 7.2