Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
The distribution below gives the weights of 30 students of a class. Find the med
The distribution below gives the weights of 30 students of a class. Find the median weight of the students \( \begin{array}{lllll}\text { weight } & 40- & 45- & 50- & 55- \\ (\text { in } \mathrm{kg}) & 45 & 50 & 55 & 60\end{array} \) 8 6 No. of students \( \quad 2 \) \begin{tabular}{ll|l|l} Weight tin & 60- & 65- & 70- \\ Kg) & 65 & 70 & 75 \\ Ma of & & & \end{tabular} No. of students 3 If
- A. 46 .67 g
- B. 12.12 кв
- C. 75 .12 \mathrm{kg} \)
- D. \( 56.67 \mathrm{kg} \)
Step-by-step solution
The median weight is found using the formula for grouped data: Median = L + [(N/2 - cf)/f] × h. The median class is 55-60 kg (cumulative frequency before it is 14, frequency 3, class width 5, N=30, N/2=15). Substituting gives Median = 55 + [(15-14)/3]×5 = 55 + 1.67 = 56.67 kg.
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