The following ‘less than’ cumulative frequency tables show the marks (out of 100)…

MATHEMATICS · Single correct · CBSE · Mathematics · Statistics · Statistics

Problem

The following ‘less than’ cumulative frequency tables show the marks (out of 100) obtained by two classes, each having 80 students. Upper limit (marks):\;10 \;20 \;30 \;40 \;50 \;60 \;70 \;80 \;90 \;100 Class A cumulative frequency: 5 \;15 \;28 \;40 \;55 \;65 \;72 \;77 \;79 \;80 Class B cumulative frequency: 8 \;18 \;30 \;47 \;60 \;68 \;73 \;76 \;79 \;80 Which class has the higher median marks and approximately by how many marks? (a) Class B, by about 44 marks (b) Class A, by about 99 marks (c) Class A, by about 44 marks (d) Both classes have nearly identical median marks (difference ≈0\approx 0)

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