Math, asked by aryakashyap769, 10 months ago

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

Answers

Answered by rahul123437
5

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

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