Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
Find the median of the following data. 12 Frequency
Find the median of the following data. \( \begin{array}{lllll}\text { class } & 0- & 20- & 40- & 60 \\ \text { interval } & 20 & 40 & 60 & 800\end{array} \) 12 Frequency \( \quad 8 \quad 10 \)
- A. 45
- B. 40
- C. 55
- D. 50
Step-by-step solution
The median is calculated for grouped data. Assuming class intervals 0-20, 20-40, 40-60, 60-80 with frequencies 12, 8, 10, 10 respectively (total 40). N/2 = 20. Cumulative frequency before median class (20-40) is 12, frequency of median class is 8, class width 20. Median = 20 + ((20-12)/8)*20 = 20 + 20 = 40.
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