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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

#### 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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