Question

Shamali scored 75, 90 and 82 marks in three maths tests respectively. How many marks must she secure in the next test to have an average of exactly 85 for the four maths tests

Please answer in proper steps

Answer 1

The marks should be 93 .

Answer 2

93 is marks must she secure in the next test to have an average of exactly 85 for the four maths tests.

Step-by-step explanation:

Given : Shamali scored 75, 90 and 82 marks in three maths tests respectively.

To find : How many marks must she secure in the next test to have an average of exactly 85 for the four maths tests ?

Solution :

Let the marks must she secure is 'x'.

Average is the sum of observation divided by total number i.e. $A=\frac{\sum x_n}{n}$

Observation - 75, 90, 82 and x.

Average - 85

$85=\frac{75+90+82+x}{4}$

$340=247+x$

$x=340-247$

$x=93$

Therefore, 93 is marks must she secure in the next test to have an average of exactly 85 for the four maths tests.

#Learn more

The average of 5 observations is 46 and the average of another 5 observations is 60. Then find the average of total observations

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