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mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.​

Sagot :

Selena328

Problem:-

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.

Solution:-

Total mean score = 40

[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]

sum of observations

= mean × no of observations

= 40×100

= 4000

After the replacement, sum of new observation will be

=4000-83+53

= 3970

mean of new the observation will be

[tex] = \frac{3970}{100} [/tex]

[tex] = 39.7[/tex]

[Hence, the actual mean is 39.7]

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