Question

The average score of a class of 40 students is 52 what will be the average score of the rest of the students if the average score of 10 of the students is 61

Answer 1

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Answer 2

Answer:

The average score of the rest of the students if the average score of 10 of the students is 61 is 49

Step-by-step explanation:

Average : $\frac{\text{Sum of all observations}}{\text{total no. of observations}}$

Since we are given that The average score of a class of 40 students is 52

So,  $52 = \frac{\text{Sum of scores of 40 students}}{40}$

⇒$52*40=\text{Sum of scores of 40 students}$

⇒$2080=\text{Sum of scores of 40 students}$

We are also given that average score of 10 of the students is 61

So,  $61 = \frac{\text{Sum of scores of 10 students}}{10}$

⇒$61*10=\text{Sum of scores of 10 students}$

⇒$610=\text{Sum of scores of 10 students}$

Now since sum of 40 students scores is 2080 and sum of 10 students scores out of those 40 is 610

So, sum of rest of 30 students score = 2080-610 =1470

So, average of scores of rest 30 students :

$\frac{\text{Sum of scores of 30 students}}{30}$

$\frac{1470}{30}$

$49$

Hence the average score of the rest of the students if the average score of 10 of the students is 61 is 49