Question

i) If the mean of 2, 5, 8, 4. y and I is 6, then the value of y is
(10, 12, 14, 16)​

Answer 1

Answer:

7735:;-!"+()848652&4!7+2+3+

12/34*677

Step-by-step explanation:

764773888

Answer 2

Given:

The following data -

• 2, 5, 8, 4, y and 1.

The mean -

• 6

Option:

a. 10

b. 12

c. 14

d. 16

What To Find:

We have to find

• The value of y.

How To Find:

To find the value of y, we have to

• Find the sum of observations of the given data.
• Find the total number of observations of the given data.
• Find the value of y.

Formula Needed:

The formula is -

$\bf \hookrightarrow Mean = \dfrac{Sum \: of \: observation}{Total \: number \: of \: observation}$

Solution:

Using the formula,

$\sf \Longrightarrow Mean = \dfrac{Sum \: of \: observation}{Total \: number \: of \: observation}$

Substitute the values,

$\sf \Longrightarrow 6 = \dfrac{2 + 5 + 8 + 4 + y + 1}{6}$

Add the numerator in RHS,

$\sf \Longrightarrow 6 = \dfrac{20 + y}{6}$

Take 6 in the denominator to LHS,

$\sf \Longrightarrow 6 \times 6 = 20 + y$

Multiply 6 by 6 in LHS,

$\sf \Longrightarrow 36 = 20 + y$

Take 20 to LHS,

$\sf \Longrightarrow 36 - 20 = y$

Subtract 20 from 36,

$\sf \Longrightarrow 16 = y$

Verification:

Using the formula,

$\sf \Longrightarrow Mean = \dfrac{Sum \: of \: observation}{Total \: number \: of \: observation}$

Substitute the values,

$\sf \Longrightarrow 6 = \dfrac{2 + 5 + 8 + 4 + y + 1}{6}$

Substitute the value of y as well,

$\sf \Longrightarrow 6 = \dfrac{2 + 5 + 8 + 4 + 16 + 1}{6}$

Add the numerator,

$\sf \Longrightarrow 6 = \dfrac{36}{6}$

Divide 36 by 6 in RHS,

$\sf \Longrightarrow 6 = 6$

∵ LHS = RHS

∴ Hence, verified.

Final Answer:

∴ Thus, the value of y is 16 ie. Option d.