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Maharashtra State BoardSSC (English Medium) 10th Standard

If assumed mean (A) = 57.5 Σf_id_i = –10 and Σf_i = 80 then Mean = ______.

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Question

If assumed mean (A) = 57.5 Σfidi = –10 and Σfi = 80 then Mean = ______.

Options

  • 57.625

  • 57.125

  • 57.375

  • 57.275

MCQ
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Solution

If assumed mean (A) = 57.5 Σfidi = –10 and Σfi = 80 then Mean = 57.375.

Explanation:

Using the assumed-mean formula `barX = A + (Σf_i d_i)/(Σ f_i)`.

Compute: `(Σ f_i d_i) / (Σ f_i) = -10/80`

= – 0.125

So, mean = 57.5 + (– 0.125) 

= 57.375

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Chapter 6: Statistics - Q.1 (A)
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