Math, asked by sabiranoushad4880, 8 months ago

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

Answered by RvChaudharY50
2

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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Answered by amitnrw
1

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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