Question

Question
950
Average of 15 numbers is calculated as 50. It is discovered later that while calculating the average, one
number 25 was incorrectly read as 10. Find correct average.
0 49
PETER
O 51
O 52
O 50​

Answer 1

Answer:

• The correct average is 51.

Step-by-step explanation:

Given that:

• Average of 15 numbers is calculated as 50.
• It is discovered later that while calculating the average, one number 25 was incorrectly read as 10.

To Find:

• Correct average.

We know that:

• Average = (Sum of values)/(Number of values)

We have:

• Number of values = 15
• Average = 50

⟶ 50 = (Sum of values)/15

⟶ Sum of values = 50 × 15

⟶ Sum of values = 750

Now finding the correct average:

We have.

• Number of values = 15

As one number 25 was incorrectly read as 10.

• Sum of values = 750 - 10 + 25 = 765

⇒ Average = 765/15

⇒ Average = 51

∴ Correct average = 51

Answer 2

Given:-

• Average of 15 number = 50

• One number 25 was incorrectly read as 10.

To Find:-

• Correct Average

Formula used:-

• Average = $\dfrac{Sum\:of\: Observation}{No.\:of\: Observation}$

Solution:-

$\: Average\:=\dfrac{Sum\:of\: Observation}{No.\:of\: Observation}$

$⟹\:50 = \dfrac{Sum\:of\: Observation}{15}$

$⟹\:Sum\:of\: Observation = 50×15$

$⟹\:Sum\:of\: Observation = 750$

As it was discovered later that while calculating the average, one number 25 was incorrectly read as 10.

Correct sum $= 750 + 25 - 10$

⠀⠀⠀⠀⠀ ⠀⠀ $=750 + 15$

⠀⠀⠀⠀⠀ ⠀⠀ $=765$

Now, Finding the Correct Average

Correct Average $=\dfrac{765}{15}$

Correct Average $=51$

Hence, The Correct Average is 51.

━━━━━━━━━━━━━━━━━━