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The Distribution Given Below Shows the Marks Obtained by 25 Students in an Aptitude Test. Find the Mean, Median and Mode of the Distribution. - ICSE Class 10 - Mathematics

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Question

The distribution given below shows the marks obtained by 25 students in an aptitude test. Find the mean, median and mode of the distribution.

Marks obtained 5 6 7 8 9 10
No. of students 3 9 6 4 2 1

Solution

Marks Obtained (x) No. of Students (f) c.f fx
5 3 3 15
6 9 12 54
7 6 18 42
8 4 22 32
9 2 24 18
10 1 25 10
    `sumf = 25` `sum fx = 171`

Mean barX = `(sum fx)/(sumf) = 171/25 = 6.84`

Median = `(25 + 1)/2` th term = 13 th term = 7

Since the number 6 has maximum frequency 9

∴ Mode  = 6

  Is there an error in this question or solution?

APPEARS IN

 2009-2010 (March) (with solutions)
Question 4.3 | 4.00 marks
Solution The Distribution Given Below Shows the Marks Obtained by 25 Students in an Aptitude Test. Find the Mean, Median and Mode of the Distribution. Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.
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