In formula \(\rm \overline X=A+\frac{\Sigma fiμ i}{\Sigma f}\times h\), μi = ?

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. \(\rm \frac{xi+A}{n}\)
  2. h(xi - A)
  3. \(\rm \frac{xi-A}{n}\)
  4. \(\rm \frac{A+x_i}{n}\)

Answer (Detailed Solution Below)

Option 3 : \(\rm \frac{xi-A}{n}\)
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Detailed Solution

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Explanation:

\(\rm \overline X=A+\frac{\Sigma fiμ i}{\Sigma f}\times h\)

where  Above formula is a step deviation formula.
In the above formula,
 \(\rm \overline X\) is data values,
A  is assumed mean,
 h is class size,
When class size is same we simplify the calculations of the mean by computing the coded mean of u1, u2, ........., un

Where μi = \(\rm \frac{xi-A}{n}\)

Hence, The Correct Answer is \(\rm \frac{xi-A}{n}\).

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