Question 73

What is the mean of the range, median and mode of the data given below?
1, 2, 5, 9, 6, 3, 9, 7, 4, 3, 9, 1, 9, 6, 8, 1

Solution

Data in ascending order : 1, 1, 1, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 9, 9

Now, range = highest - lowest = $$9-1=8$$

Median = $$\frac{5+6}{2}=5.5$$

Mode = 9

=> Mean of the 3 terms = $$\frac{8+5.5+9}{3}=7.5=7\frac{1}{2}$$

=> Ans - (A)

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What is the mean of the range, median and mode of the data given below?1, 2, 5, 9, 6, 3, 9, 7, 4, 3, 9, 1, 9, 6, 8, 1