KnowledgeBoat Logo
|

Mathematics

The mean of 100 observations is 50. If one of the observations was misread as 50 instead of 40, the correct mean is :

  1. 40

  2. 49.9

  3. 50

  4. 50.1

Measures of Central Tendency

1 Like

Answer

Sum of observations when observations were misread = Number of observations × Initial Mean

= 100(50)

= 5000

To find the correct sum We need to subtract the wrong value and add the correct value,

Sum = 5000 - 50 + 40

= 4990

∴ Mean = 4990100\dfrac{4990}{100} = 49.9

Hence, option 2 is the correct option.

Answered By

1 Like


Related Questions