Question

If the mean of 5, 2, x + 4, 2x - 4, 2x + 3 is 25, x =

Answer 1

Answer:

mean= sum of observations/ number of observations

25= 5+2+x+4+2x-4+2x+3/5

25×5= 10+5x

125 = 10+5x

125-10 =5x

115 =5x

x=115/5=23

x=23

Answer 2

The value of x is 28.

Step-by-step explanation:

Given:

Number of observations(n)=6

 mean(m)=25

To find:

The value of x

Formula:

Mean=sum of observations(∑xi)/Number of observations(n)

Solution:

By the formula of mean

Mean(m)=sum of all observations(xi)/number of observations(n)

25= 5+2+(x+4)+(2x-4)+(2x+3)/6..........................(given)

∴25=7+x+4+2x-4+2x+3/6

∴25=10+5x/6............................................(adding the like terms)

∴25×6=10+5x

∴150=10+5x

∴140=5x............................(putting the like terms together)

∴x=140/5

∴ x=28

Hence,the value of x is 28