Question

The performance of a student in a business school was evaluated as follows. Calculate weighted

mean from the given data and distinguish between weighted arithmetic mean and simple

arithmetic mean.

Class test

Presentation

Attendance

Class participation

Final examination

38

36

15

20

55

10

15

05

10

60​

Answer 1

Answer:

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Answer 2

Given:

The performance of a student in a business school

To find:

weighted   mean

Solution:

                  Marks Obtained (w) Weights (x) wx

Class Test                             38            10           380

Presentation                              36            15            432

Attendance                               15            05      75

Class Participation                        12             10      120

Final Examination                         55             60      3300

TOTAL                                                ∑〖w=100〗 ∑〖wx=4307〗

Weighted arithmetic mean = $\frac{\Sigma wx}{\Sigma w}$ = $\frac{4307}{100}$=43.07 marks/ participation.

Weighted arithmetic mean and Simple arithmetic mean

Simple arithmetic mean is done by adding all values and divide by the number of data points. Whereas, weighted arithmetic mean is done by multiply all the values by a certain factor that is based on some other criteria to give more weight to some values than others.

The Arithmetic is the simplest and most widely used measure of a mean, or average. It maintains its place in finance. Whereas, Weighted mean is an average computed by giving different weights to some of the individual values. If all the weights are equal, then the weighted mean is the same as the arithmetic mean. It represents the average of a given data. So, weighted mean is similar to the arithmetic mean.