23. There are 4 children in a family. The twoOTSoldest children are tw

1.	23. There are 4 children in a family. The twoOTSoldest children are twins. The mean of the 4children's ages is 14.25 years, the median is15.5 years and the mode is 16 years. Use thisinformation to work out the ages of the 4 children.
Answer» Given,Mean = 14.25Median = 15.5Mode = 16 As mode is 16 so age of twins is 16 Let, age of other two children are x and yIn ascending order ages are x, y, 16, 16 Then,Median = ( y + 16)/215.5 = (y + 16)/231 = y + 16y = 31 - 16 = 15 Mean = (x + y + 16 + 16)/414.25*4 = x + 15 + 32x = 57 - 47x = 10 Therefore ages of four children are 10, 15, 16, 16

23. There are 4 children in a family. The twoOTSoldest children are twins. The mean of the 4children's ages is 14.25 years, the median is15.5 years and the mode is 16 years. Use thisinformation to work out the ages of the 4 children.

Answer»

Given,Mean = 14.25Median = 15.5Mode = 16

As mode is 16 so age of twins is 16

Let, age of other two children are x and yIn ascending order ages are x, y, 16, 16

Then,Median = ( y + 16)/215.5 = (y + 16)/231 = y + 16y = 31 - 16 = 15

Mean = (x + y + 16 + 16)/414.25*4 = x + 15 + 32x = 57 - 47x = 10

Therefore ages of four children are 10, 15, 16, 16