Question

The average height of a family of six members is 160 cm. If the heights of five family members are 164 cm, 156 cm , 162 cm , 155 cm and 158 cm, Find the height of the sixth family member?
(there are no options)

Answer 1

Answer

The average height of a family of six members = 160 cm

Let, the height of sixth family member = x cm

• The average height = The sum of all heights ÷ Number of members in family.

》160 = ( 164 + 156 + 162 + 155 + 158 + x ) ÷ 6

》160 = ( 795 + x ) ÷ 6

》160 × 6 = 795 + x ( 6 has transposed from R.H.S to L.H.S )

》960 = 795 + x

》x = 960 – 795 = 165 .

Therefore, the height of sixth family member is = 165 cm. ( Ans )