Math, asked by Anonymous, 2 months ago

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​

Answers

Answered by Anonymous
5

Answer:

Given :

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.

To find :

Remaining two observations

Solution :

★ Mean of 6 observation = 15

★ 4 observations = 10, 18, 23 & 9

★ Remaining two observations = One is four times the other.

\begin{gathered}\\\end{gathered}

Consider the first observation be x & the second observation be 4x

\begin{gathered}\\\end{gathered}

As we know that

\begin{gathered}\\\end{gathered}

{\bold \dag}\:{\boxed{\pmb{\tt{\red{Mean=\dfrac{Sum \: of \: the \: total \: observations}{Number\: of\: the \: observations}}}}}}†Mean=NumberoftheobservationsSumofthetotalobservationsMean=NumberoftheobservationsSumofthetotalobservations

\begin{gathered}\\\end{gathered}

\begin{gathered} \\ \implies \sf 15 = \dfrac{10 + 18 + 23 + 9 + x + 4x}{6} \\ \\ \implies \sf 15 = \dfrac{ 60 + 5x}{6} \\ \\ \implies \sf 90 = 60 + x \\ \\ \implies \sf 90 - 60 = x \\ \\ \implies \sf x = 30 \end{gathered}⟹15=610+18+23+9+x+4x⟹15=660+5x⟹90=60+x⟹90−60=x⟹x=30

Other two observations

x = 30

4x = 4 × 30 = 120

Therefore, other two observations are 30 & 120

Answered by XxDangerousQueenxX
3

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

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