Question

The mean of the marks scored by 40 students was found to be 35. Later on it was discovered that a score of 43 was misread as 34. Find the correct mean. step by step who do i give brainliest​

Answer 1

Answer:

Given :

• Mean marks of 40 students were found to be 35.
• Later it was discovered score of 43 misread as 34.

To Find:-

• The mean after correcting the wrong score

• For calculating the sum of observations, formula is given by :-

$\red{ \underline{ \red{\boxed{\sf{Sum \: of \: observations = Mean \times No. \: of \: observations}}}} }$

Plugging the values,

:

$:\implies \sf \: 35 \times 40 = 1,400:$

$\sf \: \underline{ \underline{ \red{According \: to \: the \: Question : }}}$

$: \implies \sf \: 1400+9$

$: \implies \red{\underline{ \boxed{\frak \red{1,409}}}}$

Now, we need to divide 1,409 by 100

$: \implies \rm \: Mean = \dfrac{1,409}{40}\\ \\ \sf\sf: \implies \underline{ \boxed{\rm{{Mean} = \underline{\bold{\purple{35.225}}}}}}$

Hence This is Answer.

Answer 2

Given : The mean of the marks scored by 40 students was found to be 35. Later on it was discovered that a score of 43 was misread as 34.

To Find: the correct mean

Solution:

The mean of the marks scored by 40 students was found to be 35

=> Total marks = 40 * 35

=> Total marks = 1400

a score of 43 was misread as 34.

Hence correct total = 1400 - 34 + 43

= 1409

Correct mean  = 1409/40

= 35.225

Hence correct mean = 35.225

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