Question

MEAN OF 25 OBSERVATIONS WAS FOUND TO BE 78.4 , BUT LATER IT WAS DISCOVERED THAT 96 WAS MISREAD AS 69. FIND THE CORRECT MEAN.

Answer 1

The correct mean is 79.48.

Given:

Wrong mean=78.4

Number of observations=25

To find:

The correct mean

Solution:

We can obtain the correct mean by replacing the correct value with the incorrect value.

The mean of the given observations=Sum of all observations/Total observations

78.4=Sum/25

78.4×25=Sum of observations

1960=Sum of observations

Now, we will deduct the incorrect term and add the correct one.

So, the correct sum=Sum of all observations-wrong term+correct term

=1960-69+96

=1987

Now, the required mean value is 1987/25.

=79.48

Therefore, the correct mean is 79.48.

#SPJ2

Answer 2

Answer:

The correct mean is 79.48.

Given:

Wrong mean=78.4

Number of observations=25

To find:

The correct mean

Solution:

We can obtain the correct mean by replacing the correct value with the incorrect value.

The mean of the given observations=Sum of all observations/Total observations

78.4=Sum/25

78.4×25=Sum of observations

1960=Sum of observations

Now, we will deduct the incorrect term and add the correct one.

So, the correct sum=Sum of all observations-wrong term+correct term

=1960-69+96

=1987

Now, the required mean value is 1987/25.

=79.48

Therefore, the correct mean is 79.48.

Step-by-step explanation:

Mark Me Brainlest