Question

Q. The mean of 6 observation is 15. four of the observation are 10,18,23 and 9. of the remaining two observation one is four times the other. find them.


Plz anyone explain this question...!!​

Answer 1

Answer:

• The remaining two observations are 6 and 24.

Step-by-step explanation:

Given that:

• The mean of 6 observation is 15.
• Four of the observation are 10, 18, 23 and 9.
• The remaining two observation one is four times the other.

To Find:

• What are the remaining two observations?

Let us assume:

• Let the one observation be x.
• Other observation = 4x

Formula used:

• Mean = (Sum of observations)/(Number of observations)

Finding the remaining two observations:

• According to the question.

⟶ 15 = (10 + 18 + 23 + 9 + x + 4x)/6

• Cross multiplication.

⟶ 10 + 18 + 23 + 9 + x + 4x = 15 × 6

⟶ 60 + 5x = 90

⟶ 5x = 90 - 60

⟶ 5x = 30

⟶ x = 30/5

⟶ x = 6

Remaining observations are:

• One observation = x = 6
• Other observation = 4x = (4 × 6) = 24

Answer 2

$\huge \fbox \green{Solution:}$

$Let \: x \: be \: the \: Observation$

$So, Other \: Observation = 4x$

$⇒Mean = \frac{x + 4x + 10 + 18 + 23 + 9}{6} = 15$

$⇒5x + 60 = 15 \times 6$

$⇒5x + 60 = 90$

$⇒5x = 30$

$:x = \: 6$

$Other \: observation \: = 4x = 4 \times 6 = 24$

$\\ \\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$

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