Question

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:
Find the average number of marks.
Marks (X): 15 20 22 24 25 30 33 38 45
Frequency (f): 5 8 11 20 23 18 13 3 1

Answer 1

The average number of marks = 26.08

Given:

• The marks obtained out of 50, by 102 students in a Physics test.
• Marks (X): 15 20 22 24 25 30 33 38 45
• Frequency (f): 5 8 11 20 23 18 13 3 1

To find:

The average number of marks.

Explanation:

• In question simply says that no. of student obtained 15 marks is 5,
• no. of student obtained 20 marks is 8 and so on.

• Average = $\frac{No.\ of \ marks \ obtained}{Total\ no \ of\ student}$
• Total no. of mark obtained = 15×5 + 20×8 + 22×11 + 24×20 + 25×23

                                                        + 30×18 + 33×13 + 38×3 + 45×1

                                                    = 2660

Average = $\frac{No.\ of \ marks \ obtained}{Total\ no \ of\ student}$ = $\frac{2660}{102}$

                                                 =26.08

The average number of marks = 26.08

To learn more...

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