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The Marks Obtained Out of 50, by 102 Students in a Physics Test Are Given in the Frequency Table Below - CBSE Class 10 - Mathematics

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Question

The marks obtained out of 50, by 102 students in a Physics test are given in the frequency table below:

Marks(x) 15 20 22 24 25 30 33 38 45
Frequency (f) 5 8 11 20 23 18 13 3 1

Find the average number of marks.

Solution

Let the assumed mean (A) = 25

Marks (x1) Frequency (f1)

u1= x1 - A

x1 - 25

f1u1
15 5 -10 -50
20 8 -5 -40
22 11 -3 -33
24 20 -1 -20
25 23 0 0
30 18 5 90
33 13 8 104
38 3 13 39
45 1 20 20
  N = 102   `sumf_1"u"_1=110`

Average number of marks `=A + (sumf_1"u"_1)/N`

`=25+110/102`

`=(2550+110)/102`

`=2660/102`

= 26.08(Approx)

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Solution The Marks Obtained Out of 50, by 102 Students in a Physics Test Are Given in the Frequency Table Below Concept: Mean of Grouped Data.
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