Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
Find the median for the following data:
Find the median for the following data: \( \begin{array}{ccccc}\mathbf{x} & \mathbf{6} & \mathbf{1 2} & \mathbf{1 8} & \mathbf{2 4} \\ \mathbf{F} & 2 & 4 & 6 & 8\end{array} \)
- A. 17
- B. 18
- C. 19
- D. 20
Step-by-step solution
Total frequency N = 2+4+6+8 = 20. Median is the average of the 10th and 11th observations. Cumulative frequencies: up to x=6: 2, up to x=12: 6, up to x=18: 12. Both 10th and 11th observations fall in the class with x=18. Hence median = 18.
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