WBBSEClass XMathematicsStatistics04 Mark2024 Moderate

QQuestion

Find the median of the data from the following distribution.

Marks Obtained No. of Students
Less than 10 8
Less than 20 15
Less than 30 29
Less than 40 42
Less than 50 60
Less than 60 70

Exam-ready answer 04 Mark

Answer

Class int Class boundary frequency (f) CF
0 – 9 0 – 9.5 8 8
10 – 19 9.5 – 19.5 7 15
20 – 29 19.5 – 29.5 14 29
30 – 39 29.5 – 39.5 13 42
40 – 49 39.5 – 49.5 18 60
50 – 59 49.5 – 59.5 10 70

Median class = N\over2

= 70\over2

= 35th = 29.5 – 39.5

Median = 29.5 + 35 - 29\over13 × 10

= 29.5 + 6\over13 × 10

= 29.5 + 60\over13

= 34.115 marks

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