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The arithmetic mean of the heights of the 3 members of a family is 135 cm. If a new member of height 119 cm comes, then what is the new arithmetic mean of heights of all the members of the family?1. 131 cm2. 135 cm3. 127 cm4. 129 cm |
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Answer» Correct Answer - Option 1 : 131 cm Given: Arithmetic mean of family's height = 135 cm Number of members = 3 Height of new member = 119 cm Formula Used: Arithmetic mean = Sum of heights/Number of members Calculations: Number of members = 3 Arithmetic mean = Sum of heights/Number of members ⇒ 135 = Sum of heights/3 ⇒ 135 × 3 = Sum of heights ⇒ Sum of heights = 405 cm Height of new member = 119 cm Sum of heights of all members = 405 cm + 119 cm ⇒ Sum of heights of all members = 524 cm Number of members = 3 + 1 = 4 Arithmetic mean of heights = 524/4 ⇒ Arithmetic mean of heights = 131 cm∴ The new arithmetic mean of heights of all the members of the family is 131 cm. |
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