Question

The average height of a family of six members is 162 cm.If the heights of five family members are 154 cm, 156 cm , 160 cm , 159 cm and 158 cm,find the height of sixth family member?

a) 185 cm b) 158 cm c) 190 cm d) 180cm

Answer 1

Answer:

the correct answer is option A 185cm.

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Answer 2

Answer: Option (a) is correct .

Step By Step Explanation :-

We have avg. height = 162 cm

  Now we have the heights of 5 members of the family ...

So now , let the height of the 6th member is " X " .

Now put that average finding formula .

    Avg. height = Sum of the height of the members

                              Total numbers of family members

=> 162 = 154 + 156 + 160 + 159 + 158 + X

                                 6

=> 162 = 787 + X                   ( Cross multiply and Solve )

                   6

=> 162 × 6 = 787 + X

=> 972 = 787 + X

=> X = 972 - 787

=> X = 185

∴ So The height of the 6th Family member is 185 cm .

So Option (a) is correct .

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