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The students in Class A and in Class B take the same examination.

There are 28 students in Class A and 32 students in Class B.
The mean score for all the students in both classes is 72.6.
The mean score for the students in Class A is 75.
(a) Work out the mean score for the students in Class B.

asked
User Obediah
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7.8k points

1 Answer

2 votes

Answer:

70.5

Explanation:

There are 28 students in Class A and 32 students in Class B

The mean score for all the students in both classes is 72.6

The mean score for the students in Class A is 75

To find the mean score for Class B:

Let x be the mean score for Class B

Total number of students = 28 + 32 = 60

Total score for all students = Mean * Number of students = 72.6 * 60 = 4356

Total score for Class A = Mean * Number of students

= 75 * 28 = 2100

So remaining total score for Class B = 4356 - 2100 = 2256

Number of students in Class B = 32

Mean score for Class B = Total score / Number of students = 2256 / 32 = 70.5

Therefore, the mean score for the students in Class B is 70.5.

answered
User Alfred Xing
by
7.2k points

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