The Marks Obtained In Five Different Tests By A Student Are Respectively 32,40,68,72 And 55. The Importance Of First Test Is Times Than That Of The Third Test And The Importance Of Second Test Is Double Than The First Test. The Importance Of Fourth Test Is Times Than That Of The Third Test. And The Importance Of Fifth Test Is Double Than That Of The Fourth Test. Find The Weighted Mean Of The Marks:
Answers
Given :- The Marks Obtained In Five Different Tests By A Student Are Respectively 32,40,68,72 And 55. The Importance Of First Test is (3/2) times Than That Of The Third Test And The Importance Of Second Test Is Double Than The First Test. The Importance Of Fourth Test Is 2(1/2) times Than That Of The Third Test. And The Importance Of Fifth Test Is Double Than That Of The Fourth Test.
To Find :- The Weighted Mean Of The Marks ?
Solution :-
Let us assume that, the importance of third test is 2x .
so,
→ Importance of first test = (3/2) * 2x = 3x
→ Importance of second test = 2 * 3x = 6x
→ Importance of fourth test = (5/2) * 2x = 5x
→ Importance of fifth test = 2 * 5x = 10x
now,
Test ----- Marks---- weightage(Xi) ----- M * W
1 ---------- 32 ---------------- 3x -------------- 96x
2 ----------40 ---------------- 6x --------------240x
3 ----------68 ---------------- 2x --------------136x
4 ----------72 ---------------- 5x --------------360x
5 ----------55 ---------------- 10x -------------550x
_______________ 26x 1382x
then,
→ The Weighted Mean Of The Marks = 1382x/26x = 53.16 (Ans.)
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Given : The marks obtained in five different tests by a student are respectively 32, 40, 68, 72 and 55.
The importance of first test is 1 1/2 times than that of the third test and the importance of second test is double than the first test.
The importance of fourth test is 2 1/2 times than that of the third test and the importance of fifth test is double than that of the fourth test.
To Find : the weighted mean of the marks
Solution:
importance of 3rd test = 2x
The importance of first test = (3/2) 2x = 3x
the importance of second test is double than the first test. = 2 * 3x = 6x
The importance of fourth test is 2 1/2 times than that of the third test = 5x
importance of fifth test is double than that of the fourth test = 10x
Test Marks Weightage Mean * weightage
1 32 3x 96x
2 40 6x 240x
3 68 2x 136x
4 72 5x 360x
5 55 10x 550x
26x 1382x
The Weighted Mean Of The Marks: = 1382x/ 26x
= 53.154
The Weighted Mean Of The Marks: = 53.154
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