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Statistics · Class 10 · CBSE Mathematics

While computing the mean of grouped data using the formula bar{x} = a + left(frac{sum fi ui}{sum fi}right) times h, what does ui represent?

Practice question from Statistics (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-6B4A10

While computing the mean of grouped data using the formula xˉ=a+(∑fiui∑fi)×h\bar{x} = a + \left(\frac{\sum f_i u_i}{\sum f_i}\right) \times h, what does uiu_i represent?

  1. A.xi−ax_i - a
  2. B.xi−ah\frac{x_i - a}{h}Correct answer
  3. C.h(xi−a)h(x_i - a)
  4. D.xi+ax_i + a

Solution

In the step-deviation method, uiu_i is defined as xi−ah\frac{x_i - a}{h}, where xix_i is the class mark, aa is the assumed mean, and hh is the class size.

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