Question

If the mean of 16, 14, x, 25, 35 is 21, find the value of x. 0​

Answer 1

Answer:

given means is 21

mean=sum of all values/no of values

21=16+14+x+25+35/5

105=30+x+60

x=105-90

x=15

Answer 2

Correct Question :-

• If the mean of 16, 14, x, 25, 35 is 21, find the value of x.

Answer :-

• The value of x is 15.

To find :-

• The value of x.

Step-by-step explanation :-

• Here, it is given that the mean of 16, 14, x, 25 and 35 is 21. We have to find the value of x.

We know that :-

$\underline{\boxed{\sf{Mean = \dfrac{Sum \: of \: all \: observations}{Number \: of \: observations}}}}$

Here,

• Mean = 21.
• Number of observations = 5.

Therefore,

$\rm{\longrightarrow \: \dfrac{16 + 14 + x + 25 + 35}{5} = 21}$

$\rm{\longrightarrow \: \dfrac{30 + x + 25 + 35}{5} = 21}$

$\rm{\longrightarrow \: \dfrac{30 + x + 60}{5} = 21}$

$\rm{\longrightarrow \: \dfrac{90 + x}{5} = 21}$

$\rm{\longrightarrow \: 90 + x = 21 \times 5}$

$\rm{\longrightarrow \: 90 + x = 105}$

$\rm{\longrightarrow \: x = 105 - 90}$

$\rm{\longrightarrow \: x = 15}$

Hence :-

• The value of x is 15.

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