Question

The mean of 10 observations is 200 if each
observation in multiplied by 5 Find the new mean​

Answer 1

Step-by-step explanation:

mean of 10 observations

$= 200$

total sum is 2000

let no of observations be x1 , x2 ... x1

$2000 = x1 + x2...x1 \div 10$

$x1 + x2...x10 = 2000 \times 10$

if 5 is multiplied each one then:

new numbers are (x1×5),(x2×5)...(x10×5)

new mean =

$(x1 \times 5) + (x2 \times 5) + ....(x10 \times 5) \div 10$

=

$(x1 + x2...x10)5 \div 10 \\ \\ \\ = 2000 \times 10 \times 5 \div 10 \\ \\ = 10000$