If the median of the data \(\dfrac{x}{5}, x, \dfrac{x}{3}, \dfrac{2x}{3}, \dfrac{x}{4}, \dfrac{2x}{5}\) and \(\dfrac{3x}{4}\), where x>0 is 8.4, then find the value of x.
21
Coefficients of x: \(\tfrac15, 1, \tfrac13, \tfrac23, \tfrac14, \tfrac25, \tfrac34\). Sorted ascending: \(\tfrac15, \tfrac14, \tfrac13, \tfrac25, \tfrac23, \tfrac34, 1\).
With 7 values, the median is the 4th term: \(\tfrac{2x}{5}\).
\(\dfrac{2x}{5} = 8.4 \Rightarrow x = \dfrac{8.4\times5}{2} = 21\).
Hence, the value of x is 21.
Similar Questions
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Important Questions from Elementary Statistics
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
