Math, asked by irenepauldoss, 1 year ago

the mean of the five numbers is 15 and the other 9 numbers is 45 find the mean of the all numbers​

Answers

Answered by aditya5120
1

Answer:

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Answered by Sauron
6

Answer:

The mean of the all numbers is 34.28 (approx).

Step-by-step explanation:

Given :

Mean of 5 numbers = 15

Mean of 9 other numbers = 45

To find :

The mean of all numbers

Solution :

\textbf{Case I -}

  • Mean = 15
  • Number of observations = 5
  • Sum of Observations = y

\bigstar{\boxed{\sf{Mean =  \frac{Sum \: of \:  Observations}{No. \: of \:  Observations}}}}

\sf{\longrightarrow} \: 15 =  \dfrac{y}{5} \\  \\ \sf{\longrightarrow} \: y = 15 \times 5 \\  \\ \sf{\longrightarrow} \: y = 75

\rule{300}{1.5}

\textbf{Case II -}

  • Mean = 45
  • Sum of Observations = x
  • Number of Observations = 9

\sf{\longrightarrow} \: 45 =  \dfrac{x}{9} \\  \\ \sf{\longrightarrow} \: x = 45 \times 9 \\  \\ \sf{\longrightarrow} \: x = 405

\rule{300}{1.5}

\textbf{Mean of all the Numbers -}

  • Number of Observations = (9 + 5)
  • Sum of Observations = (405 + 75)

\sf{\longrightarrow} \:  \dfrac{405 + 75}{9 + 5} \\  \\\sf{\longrightarrow} \:  \dfrac{480}{14} \\  \\   \sf{\longrightarrow} \: 34.28 \: ...(approx)

\therefore The mean of the all numbers is 34.28 (approx).

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