Question

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Answer 1

right answer

Explanation:

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Answer 2

Question :-

The Mean of 40 Observations was 160. It was Detected on rechecking that the Value of 165 was wrongly Copied as 125 for Computation of Mean.

Find the Correct Mean

Solution :-

Given,

Calculated Mean of 40 Observations = 160

∴ Calculated Sum of 40 Observations = $(160 \times 40) = \bold {6,400}$

To Find,

The Correct Mean of these Numbers . . .

$\begin {gathered} \end {gathered}$

Correct Sum of these Numbers = $\bf [6,400 - (Wrong\: Value) + (Correct\: Value)]$

Correct Sum of these Numbers = $(6,400 - 125 + 165) = \bold {6440}$

$\begin {gathered} \end {gathered}$

∴ The correct Mean = $\dfrac {644 \cancel 0}{4 \cancel 0} = \bold {161}$

Hence, The correct Mean of the 40 Observations is 161 . . .

Additional Information :-

Mean :- The Average of a given Set of Numbers is called the Arithmetic Mean of the given Numbers.

$\boxed {\bf Mean = \dfrac{Sum\: of\: Observations}{Number\: of\: Observations}}$