Question

if 10 people average age is 30. When 1 person was added to it, the average will be 32, then what is the age of new person?​

Answer 1

Answer:

Average is the sum of the data values divided by the total number of data values.

Let the 7 persons ages be x1​,x2​,x3​,x4​,x5​,x6​,x7​

Given that average of 5 persons is 31

⟹31=5x1​+x2​+x3​+x4​+x5​​

⟹x1​+x2​+x3​+x4​+x5​=31×5=155 ------(1)

Given that average of all the 7 persons ages is 30

⟹30=7x1​+x2​+x3​+x4​+x5​+x6​+x7​​

⟹x1​+x2​+x3​+x4​+x5​+x6​+x7​=30×7=210 ------(2)

Subtracting (1) from (2) we get

x6​+x7​=210−155=55 ----(3)

Therefore, the average of other 2 persons is  2x6​+x7​​=255​=27.5

Step-by-step explanation:

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