Below are the scores of a group of students in a test: Scores 1 2 3 4 5 6 No. of students 1 4 5 6 \(x\) 2 If the average scores is 3.5, find the value of x.

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

Below are the scores of a group of students in a test:

Scores 1 2 3 4 5 6
No. of students 1 4 5 6 \(x\) 2

If the average scores is 3.5, find the value of x.

Answer Details
S c o r e s 1 2 3 4 5 6 No. of students 1 4 5 6 x 2
Average = 3.5
3.5 =  ( 1 × 1 ) + ( 2 × 4 ) + ( 3 × 5 ) + ( 4 × 6 ) + 5 x + ( 6 × 2 ) 1 + 4 + 5 + 6 + x + 2
3.5 1  =  1 + 8 + 15 + 24 + 5 x + 12 18 + x
3.5 1  =  60 + 5 x 18 + x
60 + 5x = 3.5(18  ÷  x)
60 + 5x = = 63 + 1.5x
5x - 1.5x = 63 - 60
1.5x = 3
x =  3 1.5
30 15  = 2

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