Question

Sachin weight is 76 kg in his group A. Mean of group A is 71.5kg and standard deviation is 2.1 kg.
         Nitin weight is 86 kg in his group B. Mean of group B is 80 kg and standard deviation is 3.3 kg.
         Who is relatively taller in his respective group?​

Answer 1

Given : Sachin weight is 76 kg in his group A. Mean of group A is 71.5kg and standard deviation is 2.1 kg.

        Nitin weight is 86 kg in his group B. Mean of group B is 80 kg and standard deviation is 3.3 kg.

To Find :  Who is relatively heavier in his respective group

Solution:

Z score = (Value - Mean ) / SD

Sachin weight is 76 kg in his group A.

Mean of group A is 71.5kg and

standard deviation is 2.1 kg.

Z score = ( 76 - 71.5)/ 2.1

=> Z score = 2.143

=> Sachin is heavier than 98.4 %  People

Nitin weight is 86 kg in his group B.

Mean of group B is 80 kg and

standard deviation is 3.3 kg.

=> Z score = ( 86 - 80)/ 3.3

=> Z score = 1.818

=> Nitin is heavier than 96.6 %  People

Sachin is heavier than 98.4 %  People

Nitin is heavier than 96.6 %  People

Sachin is   relatively heavier in his respective group

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