Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data

Calculate the average income of workers using direct method. \begin{tabular}{|l|

Calculate the average income of workers using direct method. \begin{tabular}{|l|l|l|l|l|l|} \hline Workers & 4 & 6 & 8 & 10 & 12 \\ \hline Weekly income & 300 & 500 & 700 & 800 & 900 \\ \hline \end{tabular}

  • A. 10 rupees
  • B. 9 rupees
  • C. 8 rupees
  • D. 7 rupees

Step-by-step solution

Interpret the table: incomes are 4, 6, 8, 10, 12 rupees with corresponding frequencies (workers) 300, 500, 700, 800, 900. Total income = 4*300 + 6*500 + 8*700 + 10*800 + 12*900 = 28600. Total workers = 300+500+700+800+900 = 3200. Average = 28600/3200 ≈ 8.9375 ≈ 9 rupees.
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