Question

If mean of 25, 18, 23, 24 and x is 2x then value of x is
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Answer 1

Answer:

10

Step-by-step explanation:

25+24+23+18+x/5=2x

90+x/5=2x

90+x=10x

90=9x

x=10

Answer 2

Mean is the average from a given set of data.

Given: Observations and mean.

To find: The value of x.

Answer:

Mean = Sum of observations/Total number of observations.

Observations: 25, 18, 23, 24, x.

Sum of the observations = 25 + 18 + 23 + 24 + x = 90 + x.

Total number of observations: 5.

Mean = 2x.

$\sf 2x\ = \frac{90\ +\ x}{5}\\\\10x\ =\ 90\ +\ x\\\\10x\ -\ x\ =\ 90\\\\9x\ =\ 90\\\\x\ = \ 10$

The value of x is 10.

Verification:

LHS: 2x = 2*10 = 20

RHS: (25 + 18 + 23 + 24 + x)/5 = (25 + 18 + 23 + 24 + 10)/5 = 100/5 = 20

LHS = RHS

Hence, verified.