Question

Arun score 36 marks in English 44 in Hindi 75 in maths x marks science if had scored an average of 150 marks. The value of x.

Answer 1

Given average = 150,

Average or Mean = Sum of the observations / No. of observations,

Here we have 4 subjects, Which means No.of observations is 4,

Marks in English = 36,
Marks in Hindi = 44,
Marks in Maths = 75,
Marks in science = x,

Now , Let us find sum of observations ,

= 36+44+75+x =(155 + x),

Substituting all the values in the above formula,

=> (155+x) / 4 = 150, Cross multiplying,
=> 155 + x = 600,
=> x = 445,

So therefore he got 445, marks in science, I know such marks won't come in exam, But according the question, I have done it ,

If the average was 50, Then the science marks will be,

155 + x = 200
=> x = 45, This makes sense,

So I think question is wrong, If it is correct question, Then the marks in science = 445 marks,

If the question was, ...... average of 50 marks,
Then his science marks is 45,

Hope you understand, Have a great day !

Answer 2

Hi there!

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What is Mean?

The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.

Mean = $\frac{Sum \: of \: observations }{Number \: of \: observations }$

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For your solution to the given question refer to the attachment.

Thanks for the question!

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