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Mean of \( \mathrm{n} \) observation \( \mathrm{a}_{1}, \mathrm{a}_{2}, \ldots . \mathrm{a}_{\mathrm{n}} \) is \( \overline{\mathrm{X}} \). If an observation \( a_{p} \) is replaced by \( a_{p}^{\prime} \) then new mean will be:
a. \( \bar{X}-\frac{\left(a_{p}+a_{p}^{\prime}\right)}{n} \)
b. \( \frac{(\mathrm{n}-1) \overline{\mathrm{X}}+\mathrm{a}_{\mathrm{p}}{ }^{\prime}}{\mathrm{n}} \)
c. \( \frac{\mathrm{n} \overline{\mathrm{X}}-\mathrm{a}_{\mathrm{p}}+\mathrm{a}_{\mathrm{p}}{ }^{\prime}}{\mathrm{n}} \)
d. \( \bar{x}+a_{p} \)
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