Question

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Answer 1

Answer

OPTION A

Step-by-step explanation

There are 10 observations given to us .

Mean of 10 observations is 25 .

We know that Mean = sum of numbers / number of terms .

⇒ 25 = Sum of numbers / 10

⇒ Sum of all numbers = 25 × 10

⇒ Sum of all numbers = 250

Now we are deleting one observation .

The value of the observation is 25 .

So the number of observations become 10 - 1 = 9

The total sum becomes 250 - 25 = 225 .

New mean is = new sum / new number of terms

⇒ New mean = 225 / 9

⇒ New mean = 25

Hence the mean will be 25 .

Answer 2

Answer:

(A) 25

Step-by-step explanation:

Formula Used:

Sum = Mean x Number of observations

Mean = Sum ÷ Number of observations

Find the sum of the 10 observations:

Mean of 10 observations = 25

Sum = Mean x Number of observations

Sum of all the 10 observations = 25 x 10 = 250

Find the mean of the 9 observations:

Sum of the 9 observations left = 250 - 25 = 225

Mean = Sum ÷ Number of observations

Mean of the 9 observations = 225 ÷ 9 = 25

Answer: The new mean is (A) 25