Question 67

The numbers 6, 8, 11, 12, 2x - 8, 2x + 10, 35, 41, 42, 50 are written in ascending order. If their median is 25, then what is the mean of the numbers?

Solution

Numbers in ascending order : 6, 8, 11, 12, 2x - 8, 2x + 10, 35, 41, 42, 50

Median of 10 numbers is the mean of 5th and 6th numbers.

=> $$\frac{(2x-8)+(2x+10)}{2}=25$$

=> $$4x+2=50$$

=> $$x=\frac{48}{4}=12$$

Thus, sum of the numbers are = 6+8+11+12+16+34+35+41+42+50 = 255

$$\therefore$$ Mean = $$\frac{255}{10}=25.5$$

=> Ans - (C)

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