Question 70

The median of the observations 10, 11, 13, 17, x + 2, x + 4, 31, 33, 36, 42, arranged in ascending order 24. What is the mean of the data?

Solution

Observations in ascending order : 10, 11, 13, 17, x + 2, x + 4, 31, 33, 36, 42

Median of 10 observations is the mean of 5th and 6th observation = $$\frac{(x+2)+(x+4)}{2}=24$$

=> $$2x=48-6=42$$

=> $$x=\frac{42}{2}=21$$

$$\therefore$$ Mean of the data = $$\frac{10+11+13+17+23+25+31+33+36+42}{10}$$

= $$\frac{241}{10}=24.1$$

=> Ans - (B)

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